Pa Pa Lin
Integral Operators Related to Problems of Interface Dynamics
719 - 724
2008
2
10
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/4432
https://publications.waset.org/vol/22
World Academy of Science, Engineering and Technology
This research work is concerned with the eigenvalue problem for the integral operators which are obtained by linearization of a nonlocal evolution equation. The purpose of section II.A is to describe the nature of the problem and the objective of the project. The problem is related to the &ldquo;stable solution&quot; of the evolution equation which is the socalled &ldquo;instanton&quot; that describe the interface between two stable phases. The analysis of the instanton and its asymptotic behavior are described in section II.C by imposing the Green function and making use of a probability kernel. As a result , a classical Theorem which is important for an instanton is proved. Section III devoted to a study of the integral operators related to interface dynamics which concern the analysis of the Cauchy problem for the evolution equation with initial data close to different phases and different regions of space.
Open Science Index 22, 2008