@article{(Open Science Index):https://publications.waset.org/pdf/7843, title = {The Euler Equations of Steady Flow in Terms of New Dependent and Independent Variables}, author = {Peiangpob Monnuanprang}, country = {}, institution = {}, abstract = {In this paper we study the transformation of Euler equations 1 , u u u Pf t (ρ ∂) + ⋅∇ = − ∇ + ∂ G G G G ∇⋅ = u 0, G where (ux, t) G G is the velocity of a fluid, P(x, t) G is the pressure of a fluid andρ (x, t) G is density. First of all, we rewrite the Euler equations in terms of new unknown functions. Then, we introduce new independent variables and transform it to a new curvilinear coordinate system. We obtain the Euler equations in the new dependent and independent variables. The governing equations into two subsystems, one is hyperbolic and another is elliptic. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {3}, number = {11}, year = {2009}, pages = {1020 - 1024}, ee = {https://publications.waset.org/pdf/7843}, url = {https://publications.waset.org/vol/35}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 35, 2009}, }