Search results for: customary solutions

Authors: Nqobizwe Mvelo Ngema

Abstract:

Botswana has a dual legal system, one based on customary law and the other on the received law. This appears clearly from the Constitution that ring-fenced customary law from any constitutional scrutiny. A customary practice may continue even if it discriminates against women and children. As a result of this, numerous human rights of children are infringed. Firstly, if parents are married under customary law and separated, the custody is granted to the father and the mother merely having the right to visit. Secondly, female children are not entitled to inherit property. Thirdly, there is no age for marriage under customary law and even a child at the age of 10 years can get married. Lastly, marital power of a husband still continues under customary law and therefore females are still treated as perpetual minors. The latter infringement of rights is not in the best interests of children and conflicts with Botswana’s international obligations. Botswana is a signatory of various international and regional human rights instruments and it is suggested that it has to accelerate the incorporation of human rights instruments into domestic law in order to safeguard the best interest of children.

Keywords: custody, marital power, children's best interest, customary law

Procedia PDF Downloads 377

Authors: Md. Reduanul Haque

Abstract:

In recent time, more and more refugees are emerging in the international arena than the times ever that has come into the notice of world scholars. The prevailing customary solutions such as voluntary repatriation, local integration, and resettlement of refugee problem have been reflected unsustainable one for the lack of regional cooperation. In the international arena, the protraction of refugee problems is seen, and refugees are suffering due to the outrageous process of customary refugee solutions. If the regional cooperation can be developed, then the suffering of the refugees can be mitigated by the contribution of neighboring country and international and regional organizations. Data collected from the various secondary sources have been used throughout the research. It has been discussing in the refugee academia for a long time to develop regional cooperation mechanisms to ensure the sustainability of this solution and to make the environment of the country of origin for suitable voluntary repatriation as well as a durable solution. It is mainly qualitative research based on primary and secondary data will be studied on library-based project. Data collected by such methodology on this study indicates to make a bridge between the gaps of the cooperation mechanism and to make a more regional approach to share the burden and to strengthen the customary refugee solution. Hence, the importance of questing for a regional mechanism is to ensure the responsible countries to be more responsible towards refugees, their human rights, and durable solution under the mandate of the UNHCR. To implement effectively all the customary durable solutions, country to country or regional organization to organization based regional cooperation can be developed where the countries and regional organizations will work together to draw a sustainable solution to this problem in international context.

Keywords: refugee, regional cooperation, sustainable implementation, customary solutions, international arena

Procedia PDF Downloads 139

Authors: S. S. Ramis Rauf

Abstract:

This study will be explained the role of local wisdom in Tolakinese customary law on customs offense. The scope of this study was the informants who have a conflict located in Southeast Sulawesi. Then, their conflicts were resolved by using Kalosara tradition. The method of this study was a qualitative research by applying the techniques of deep interviews, revealing experiences and stories from informants, interviews customary leaders who are skilled and experienced in the customary settlement process of Kalosara tradition. Kalosara, as Tolakinese local wisdom, has contained in Tolakinese customary law. Kalosara was the application of customary law which was guided by Tolaki’s people when there was a problem. Knowledge and understanding of the customs have been conceived as something that comes from the ancestors. They created custom rules based on the law of Allah SWT for the elderly to do with full of awareness. Then, it was hereditary obeying by their children from generation to generation. The conflict occurred because of several things, namely bad words, aspersion, and other violations (such as harassment and affair). In custom settlement process, kalosara was done by using the enforcement of Tolakinese customary law that managed within an institution. It was called as Sara Wonua. It led by someone who was called as Pu'utobu that serves as a customary leader.

Keywords: kalosara, conflict resolution, tradition, unity, diversity

Procedia PDF Downloads 209

Authors: Biswanath Gupta, Raju Kd

Abstract:

Space law is the new entry in the basket of international law in the latter half of the 20th Century. In the last hundred and fifty years, courts and scholars developed a consensus that, the custom is an important source of international law. Article 38(1) (b) of the statute of the International Court of Justice recognized international custom as a source of international law. State practices and usages have a greater role to play in formulating customary international law. This paper examines those state practices which can be qualified to become international customary law. Since, 1979 (after Moon Treaty) no hard law have been developed in the area of space exploration. It tries to link between state practices and custom in space exploration and development of customary international law in space activities. The paper uses doctrinal method of legal research for examining the current questions of international law. The paper explores different international legal documents such as General Assembly Resolutions, Treaty principles, working papers of UN, cases relating to customary international law and writing of jurists relating to space law and customary international law. It is argued that, principles such as common heritage of mankind, non-military zone, sovereign equality, nuclear weapon free zone and protection of outer space environment, etc. developed state practices among the international community which can be qualified to become international customary law.

Keywords: customary international law, state practice, space law, treaty

Procedia PDF Downloads 343

Authors: Maryam Nimehforush, Hamid Vahidkia

Abstract:

The International Court of Justice, as well as international law in general, may not excel in methodology. In contrast to how it interprets treaties, the Court rarely explains how it determines the existence, content, and scope of customary international law rules it uses. The Court's jurisprudence only mentions the inductive and deductive methods of law determination sporadically. Both the Court and legal literature have not extensively discussed their approach to determining customary international law. Surprisingly, the question of the Court's methodology has not garnered much attention despite the fact that interpreting and shaping the law have always been intertwined. This article seeks to redirect focus to the method used by the Court in deciding the customs of international law it enforces, emphasizing the importance of methodology in the evolution of customary international law. The text begins by giving explanations for the concepts of ‘induction’ and ‘deduction’ and explores how the Court utilizes them. It later examines when the Court employs inductive and deductive reasoning, the varied types and purposes of deduction, and the connection between the two approaches. The text questions the different concepts of inductive and deductive tradition and proves that the primary approach utilized by the Court is not induction or deduction but instead, assertion.

Keywords: ICJ, law, international, induction, deduction, assertion

Procedia PDF Downloads 9

Authors: Hamid Vahidkia

Abstract:

This article explores advancements in global law and how they interact with domestic legal systems. The article's introduction highlights that nations that gained independence from authoritarian governments tend to be more open to international law. A nation can choose to follow either a monist strategy regarding international law, viewing it as an integral part of its own legal system, or opt for a dualist approach, where it keeps its domestic law distinct from international law. The beginning goes on to recognize the origins of international law, such as treaties and countries' ways of following them, customary international law, and declarations. The introduction ends by acknowledging the growing significance and development of international law.

Keywords: international law, customary law, treaties, human right

Procedia PDF Downloads 22

Authors: Hamid Vahidkia

Abstract:

Central to the World Court’s mission is the assurance of universal custom “as prove of a common hone acknowledged as law.” Understudies of the Court’s law have long been mindful that the Court has been superior at applying standard law than characterizing it. However until Nicaragua v. Joined together States, small hurt was done. For within the strongly challenged cases earlier to Nicaragua, the Court overseen to inspire commonalities in factious structure that floated its decisions toward the standard standards certain in state hone. The Court’s need of hypothetical unequivocality basically implied that a career opportunity emerged for a few eyewitnesses like me to endeavor to supply the lost hypothesis of custom.

Keywords: law, international law, jurisdication, customary

Procedia PDF Downloads 59

Authors: Muhammad Younis

Abstract:

In this article, the novel (G′/G)-expansion method is successfully applied to construct the abundant travelling wave solutions to the modified Burgers’ equation with the aid of computation. The method is reliable and useful, which gives more general exact travelling wave solutions than the existing methods. These obtained solutions are in the form of hyperbolic, trigonometric and rational functions including solitary, singular and periodic solutions which have many potential applications in physical science and engineering. Some of these solutions are new and some have already been constructed. Additionally, the constraint conditions, for the existence of the solutions are also listed.

Keywords: traveling wave solutions, NLPDE, computation, integrability

Procedia PDF Downloads 432

Authors: Siti Rodliyah, Andrik Purwasito, Bani Sudardi, Abdullah Wakit

Abstract:

This study employs sociological-ethnographic basic method and the cultural studies paradigm as the approach in understanding the habitus within the customary marriage of the East Nusa Tenggara society who require belis as a bride-price. The conceptual basis underlying the application of habitus theory and symbolic power in East Nusa Tenggara (NTT) society refers to the Bourdieu’s framework. This study is a result of participatory observation on habitus of a marital system using belis observed by the NTT society as a cognitive structure which connects individuals to the social activities of the customary marriage and makes it unquestionable habits. Knowledge of the social world under the pretext of prosperity for the recipients (family) of a bride-price can be a political instrument for the sustainability of power relations. The ritual-mythical system in the society has never been fully present as a neutral habit. The habitus reflected in the marital relationship among the NTT society enables the men to obtain and exercise their power relations. The sustainability of power relations can be seen from the representation of the social status of a girl and the properties attached to her. This is what gave birth to a symbolic rule, in which the social rules about bride-price or belis eventually will serve the interests of those who occupy a dominant position in the social structure, namely the rich men.

Keywords: belis, habitus, East Nusa Tenggara, marital system, power, symbolic

Procedia PDF Downloads 244

Authors: Magdy G. Asaad

Abstract:

Solitons are among the most beneficial solutions for science and technology for their applicability in physical applications including plasma, energy transport along protein molecules, wave transport along poly-acetylene molecules, ocean waves, constructing optical communication systems, transmission of information through optical fibers and Josephson junctions. In this talk, we will apply the bilinear technique to generate a class of soliton solutions to the (3+1)-dimensional nonlinear soliton equation of Jimbo-Miwa type. Examples of the resulting soliton solutions are computed and a few solutions are plotted.

Keywords: Pfaffian solutions, N-soliton solutions, soliton equations, Jimbo-Miwa

Procedia PDF Downloads 451

Authors: Uche A. Nnawulezi

Abstract:

This paper examines an essential and complex part of International humanitarian law standards of military necessity. Military necessity is an unpredictable phenomenon. The unpredictability of this regulation likewise originates from the fact that is one of the most fundamental, yet most misjudged and distorted standards of international law of armed conflict. This rule has been censured as essentially wrong in light of its non-compliance with the principles of international humanitarian law in recent past. The author noted in this study that military necessity runs counter to humanitarian exigencies. These have generated debate among researchers for them to propose that for international law to be considered more important, it is indispensable that the procedures and substance of custom be illuminated and made accessible to every one of the individuals who may utilize it or be influenced by it. However, a significant number of analysts have attributed particular weaknesses to this doctrine. This study relied on both primary and secondary sources of data collection. Significantly, the recommendation made in this paper, if completely adopted, shall go a long way in guaranteeing a better application of the principles of international humanitarian law.

Keywords: military necessity, international law, international humanitarian law, customary law

Procedia PDF Downloads 215

Authors: A. Zerarka, W. Djoudi

Abstract:

We use some fractional transformations to obtain many types of new exact solutions of nonlinear lattice equation. These solutions include rational solutions, periodic wave solutions, and doubly periodic wave solutions.

Keywords: fractional transformations, nonlinear equation, travelling wave solutions, lattice equation

Procedia PDF Downloads 657

Authors: Chao-Qing Dai

Abstract:

Two families of exact travelling solutions for the discrete sine-Gordon equation are constructed based on the variable-coefficient Jacobian elliptic function method and different transformations. When the modulus of Jacobian elliptic function solutions tends to 1, soliton solutions can be obtained. Some soliton solutions degenerate into the known solutions in literatures. Moreover, dynamical properties of exact solutions are investigated. Our analysis and results may have potential values for certain applications in modern nonlinear science and textile engineering.

Keywords: exact solutions, variable-coefficient Jacobian elliptic function method, discrete sine-Gordon equation, dynamical behaviors

Procedia PDF Downloads 419

Authors: Edamana Krishnan, Khalil Al-Ghafri

Abstract:

In this paper, modified K(n,n) and K(n+1,n+1) equations have been solved using mapping methods which give a variety of solutions in terms of Jacobi elliptic functions. The solutions when m approaches 0 and 1, with m as the modulus of the JEFs have also been deduced. The role of constraint conditions has been discussed.

Keywords: travelling wave solutions, solitary wave solutions, compactons, Jacobi elliptic functions, mapping methods

Procedia PDF Downloads 304

Authors: Armin Ardekani, Mohammad Akbari

Abstract:

We present a method of generating series solutions to large classes of nonlinear differential equations. The method is well suited to be adapted in mathematical software and unlike the available commercial solvers, we are capable of generating solutions to boundary value ODEs and PDEs. Many of the generated solutions converge to closed form solutions. Our method can also be applied to systems of ODEs or PDEs, providing all the solutions efficiently. As examples, we present results to many difficult differential equations in engineering fields.

Keywords: computational mathematics, differential equations, engineering, series

Procedia PDF Downloads 335

Authors: Lizelle Ramaccio Calvino

Abstract:

Article 3 of the United Nations Convention on the Rights of Child states that 'The best interests of the child must be a top priority in all decisions and actions that affect children.' This stance is also echoed in terms of article 20 of the African Charter on the Rights and Welfare of the Child. South Africa, as a signatory of the aforesaid international and national conventions, constitutionalised the best interest of the child in terms of section 28(2) of the Republic of South Africa, 1996. Section 28(2) provides that '[A] child’s best interests are of paramount importance in every matter concerning the child.' The application of 'the best interests of the child' principle is consequently applicable in all fields of South African law, including matrimonial law. Two separate but equal Acts regulate civil marriages in South Africa, namely the Marriage Act 25 of 1961 and the Civil Union Act 17 of 2006. Customary marriages are regulated by the Recognition of Customary Marriages Act 120 of 1998. In terms of the Marriage Act and the Recognition of Customary Marriages Act, a minor may (provided he/she obtains the required consent) enter into a marriage. Despite the aforesaid, section 1 of the Civil Union Act categorically prohibits a minor from entering into a civil union. The article will first determine whether the ban of minors from entering into a civil union undermines the 'the best interests of the child' principle, and if so, whether it is in violation of the Constitution as well as international and national conventions. In addition, the article will critically analyse whether the application of the Marriage Act and the Civil Union Act (dual Acts) result in disparity within the South African marriage law framework, and if so, whether such discrepancy violates same-sex couples’ right (in particular a same-sex minor) to equality before the law and to have their dignity protected. The article intends, through the application of a qualitative research methodology and by way of a comparative analyses of international and domestic laws, consider whether a single well-defined structure such as the Dutch marriage law system would not be an improved alternative to address the existing paradox resulting from the application of an Act that undermines 'the best interest of the child' principle. Ultimately the article proposes recommendations for matrimonial law reform.

Keywords: best interests of the child, civil marriage, civil union, minor

Procedia PDF Downloads 174

Authors: Kwasi Sarfo, Bernard Okoampah Otu

Abstract:

The 1992 constitution of the Republic of Ghana recognises the authority and roles of traditional leaders and considers them as being entrusted with fiduciary responsibility over land in their respective territories. The new land act, Act 1036 of 2020, in buttressing the fiduciary role of traditional leaders in land matters, inserted the traditional leaders’ accountability clause. Many traditional leaders have expressed their misgivings about the insertion of this clause. Therefore, there appears to be a misunderstanding of the concept of fiduciary in land management in Ghana. The objective of this study is to examine the concept of fiduciary in respect of allodial rights holders in land management and administration and how this concept is perceived and applied by traditional leaders. The study seeks to provide insights into the discrepancy between fiduciary theory and its practical implementation in Ghana. The study is based on a qualitative empirical research approach and adopts in-depth interviews as a primary method of data collection. The study also adopts the theory of New Institutionalism of social anthropology in analysing and interpreting the findings. The data for this study was collected over a period of one year, from July 2022 to July 2023, as part of one of the author's PhD dissertation. The collected data were carefully analysed using the principles of thematic analysis, identifying key themes and patterns. This study does not seek to pursue the discussions from a legal standpoint but from a social anthropological perspective and argues that the concept of fiduciary in theory is far different from what pertains in practice and that traditional leaders’ assumptions and application of this concept contribute to the alienation of customary and communal land at the expense of their subjects. This study deepens our understanding of the continuous expropriation of communal landholders in many rural communities in Africa in the era of global land grabbing, which worsens their poverty levels. It also explains further the theory of new institutionalism of social anthropology by highlighting how the theory manifests in practice in the case of Ghana.

Keywords: fiduciary, customary land tenure, allodial rights, land alienation, communal land, Ghana

Procedia PDF Downloads 69

Authors: Saleh Alzahrani, Halim Boussabaine

Abstract:

The Public Private Partnership (PPP) contracts are produced taking into account the reason that the configuration, development, operation, and financing of an open undertaking is to be recompensed to a private gathering inside a solitary contractual structure. PPP venture dangers are ordinarily connected with the improvement and development of another resource and in addition its operation for a considerable length of time. Without a doubt, the most genuine outcomes of dangers amid the development period are value and time overwhelms. These occasions are amongst the most extensively utilized situations as a part of worth for cash investigation dangers. The wellsprings of danger change over the life cycle of a PPP venture. In customary acquirement, the general population segment ordinarily needs to cover all value trouble from these dangers. At any rate there is bounty confirmation to recommend that cost pain is a standard in a percentage of the tasks that are conveyed under customary obtainment. This paper means to research the effect of endogenous dangers on expense overwhelm in KSA PPP ventures. The paper displays a brief writing survey on PPP danger evaluating systems, and after that presents an affiliation model between danger occasions and expense invade in KSA. The paper finishes up with considerations for future examination.

Keywords: PPP, risk pricing, impact of risk, Endogenous risks

Procedia PDF Downloads 451

Authors: E. V. Krishnan

Abstract:

In this paper, we employ mapping methods to construct exact travelling wave solutions for a modified Korteweg-de Vries equation. We have derived periodic wave solutions in terms of Jacobi elliptic functions, kink solutions and singular wave solutions in terms of hyperbolic functions.

Keywords: travelling wave solutions, Jacobi elliptic functions, solitary wave solutions, Korteweg-de Vries equation

Procedia PDF Downloads 329

Authors: Aziza Altaibayeva, Ertan Güdekli, Ratbay Myrzakulov

Abstract:

In this letter, we explore exact solutions for the Horava-Lifshitz gravity. We use of an extension of this theory with first order dynamical lapse function. The equations of motion have been derived in a fully consistent scenario. We assume that there are some spherically symmetric families of exact solutions of this extended theory of gravity. We obtain exact solutions and investigate the singularity structures of these solutions. Specially, an exact solution with the regular horizon is found.

Keywords: quantum gravity, Horava-Lifshitz gravity, black hole, spherically symmetric space times

Procedia PDF Downloads 580

Authors: R. B. Ogunrinde, C. C. Jibunoh

Abstract:

In this paper, a spectral decomposition method is developed for the direct integration of stiff and nonstiff homogeneous linear (ODE) systems with linear, constant, or zero right hand sides (RHSs). The method does not require iteration but obtains solutions at any random points of t, by direct evaluation, in the interval of integration. All the numerical solutions obtained for the class of systems coincide with the exact theoretical solutions. In particular, solutions of homogeneous linear systems, i.e. with zero RHS, conform to the exact analytical solutions of the systems in terms of t.

Keywords: spectral decomposition, linear RHS, homogeneous linear systems, eigenvalues of the Jacobian

Procedia PDF Downloads 329

Authors: Changiz Valmohammadi

Abstract:

The main purpose of this study is to explore the perception of Iranian experts and executive managers of sample organizations on the benefits and barriers of Internet of Things (IoT) solutions implementation. Based on the review of the related literature and web sites, benefits and barriers of successful implementation to IoT solutions were identified. Through a self-administered questionnaire which was collected from 67 Iranian organizations the ranking and importance of benefits and barriers of IoT solutions implementation were determined based on the perception of the experts of the surveyed organizations. Analysis of data and the obtained results revealed that “improved customer experience” and “Supply chain optimization and responsiveness” are the most important benefits that the survey organizations expect to reap as a result of IoT solutions implementation. Also,” Integration challenges" and “cannot find right suppliers” were ranked as the most challenging barriers to IoT solutions implementation.

Keywords: internet of things (IoT), exploratory study, benefits, barriers, Iran

Procedia PDF Downloads 516

Authors: Edamana Vasudevan Krishnan

Abstract:

This paper studies solitons in optical materials with the help of Mapping Method. Two types of nonlinear media have been investigated, namely, the cubic nonlinearity and the quintic nonlinearity. The soliton solutions, shock wave solutions and singular solutions have been derives with certain constraint conditions.

Keywords: solitons, integrability, metamaterials, mapping method

Procedia PDF Downloads 492

Authors: A. Zerarka, W. Djoudi

Abstract:

The method developed in this work uses a generalised coth and csch funtions method to construct new exact travelling solutions to the nonlinear lattice equation. The technique of the homogeneous balance method is used to handle the appropriated solutions.

Keywords: coth functions, csch functions, nonlinear partial differential equation, travelling wave solutions

Procedia PDF Downloads 662

Authors: Farhat Jabeen, Syed Asfaq Hussain Bukhari

Abstract:

In the wake of the contemporary period the basic objective of the research paper points out that socio-cultural scenario of Pakistan reveals that gender-based violence is deep rooted in the society irrespective of language and ethnicity. This paper would reconnaissance the possibility reforms in Pakistan for diminishing of violence. Women are not given their due role, rights, and respect. Furthermore, they are treated as chattels. This presentation will cover the socio-customary practices in the context of discrimination, stigmatization, and violence against women. This paper envisages justice in a broader sense of recognition of rights for women, and masculine structure of society, socio-customary practices and discrimination against women are a very serious concern which needs to be understood as a multidimensional problem. The paper will specially focus on understanding the existing obstacles of women in Pakistan in the constitutional scenario. Women stumble across discrimination and human rights manipulations, voluptuous violation and manipulation including domestic viciousness and are disadvantaged by laws, strategies, and programming that do not take their concerns into considerations. This presentation examines the role of honour killings among Pakistani community. This affects their self-assurance and capability to elevation integrity campaign where gender inequalities and discrimination in social, legal domain are to be put right. This paper brings to light the range of practices, laws and legal justice regarding the status of women and also covers attitude towards compensations for murders/killings, domestic violence, rape, adultery, social behavior and recourse to justice.

Keywords: discrimination, cultural, women, violence

Procedia PDF Downloads 324

Authors: Rafat Alshorman, Fadi Awawdeh

Abstract:

By employing a simplified bilinear method, a class of generalized fifth-order KdV (gfKdV) equations which arise in nonlinear lattice, plasma physics and ocean dynamics are investigated. With the aid of symbolic computation, both solitary wave solutions and multiple-soliton solutions are obtained. These new exact solutions will extend previous results and help us explain the properties of nonlinear solitary waves in many physical models in shallow water. Parametric analysis is carried out in order to illustrate that the soliton amplitude, width and velocity are affected by the coefficient parameters in the equation.

Keywords: multiple soliton solutions, fifth-order evolution equations, Cole-Hopf transformation, Hirota bilinear method

Procedia PDF Downloads 319

Authors: Tadas Telksnys, Zenonas Navickas, Minvydas Ragulskis

Abstract:

Necessary and sufficient conditions for the existence of second order solitary solutions to the Hodgkin-Huxley equation are derived in this paper. The generalized multiplicative operator of differentiation helps not only to construct closed-form solitary solutions but also automatically generates conditions of their existence in the space of the equation's parameters and initial conditions. It is demonstrated that bright, kink-type solitons and solitary solutions with singularities can exist in the Hodgkin-Huxley equation.

Keywords: Hodgkin-Huxley equation, solitary solution, existence condition, operator method

Procedia PDF Downloads 379

Authors: S. S. Bendib, L. W. Mouss, S. Kalla

Abstract:

This paper proposes a self-organization-based approach for real-time systems design. The addressed issue is the mapping of an application onto an architecture of heterogeneous processors while optimizing both makespan and reliability. Since this problem is NP-hard, a heuristic algorithm is used to obtain efficiently approximate solutions. The proposed approach takes into consideration the quality as well as the diversity of solutions. Indeed, an alternate treatment of the two objectives allows to produce solutions of good quality while a self-organization approach based on the neighborhood structure is used to reorganize solutions and consequently to enhance their diversity. Produced solutions make different compromises between the makespan and the reliability giving the user the possibility to select the solution suited to his (her) needs.

Keywords: embedded real-time systems design, makespan, reliability, self-organization, compromises

Procedia PDF Downloads 132

Authors: S. Henine, A. Youkana

Abstract:

This work is devoted to study the global existence and asymptotic behavior of solutions for Gierer-Meinhardt systems arising in biological phenomena. We prove that the solutions are global and uniformly bounded by a positive constant independent of the time. Our technique is based on Lyapunov functional argument. Under suitable conditions, we established a result on the asymptotic behavior of solutions. These results are valid for any positive continuous initial data, and improve some recently results established.

Keywords: asymptotic behavior, Gierer-Meinhardt systems, global existence, Lyapunov functional

Procedia PDF Downloads 388

Authors: Flavia Smarrazzo

Abstract:

Initial-boundary value problems for nonlinear parabolic equations having a Radon measure as initial data have been widely investigated, looking for solutions which for positive times take values in some function space. On the other hand, if the diffusivity degenerates too fast at infinity, it is well known that function-valued solutions may not exist, singularities may persist, and it looks very natural to consider solutions which, roughly speaking, for positive times describe an orbit in the space of the finite Radon measures. In this general framework, our purpose is to introduce a concept of measure-valued solution which is consistent with respect to regularizing and smoothing approximations, in order to develop an existence theory which does not depend neither on the level of degeneracy of diffusivity at infinity nor on the choice of the initial measures. In more detail, we prove existence of suitably defined measure-valued solutions to the homogeneous Dirichlet initial-boundary value problem for a class of nonlinear parabolic equations without strong coerciveness. Moreover, we also discuss some qualitative properties of the constructed solutions concerning the evolution of their singular part, including conditions (depending both on the initial data and on the strength of degeneracy) under which the constructed solutions are in fact unction-valued or not.

Keywords: degenerate parabolic equations, measure-valued solutions, Radon measures, young measures

Procedia PDF Downloads 281