On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations

On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations

We prove existence and uniqueness of entropy solutions for the Cauchy problem of weakly coupled systems of nonlinear degenerate parabolic equations. We prove existence of an entropy solution by demonstrating that the Engquist-Osher finite difference scheme is convergent and that any limit function s...

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Bibliographic Details
Main Authors: Helge Holden, Kenneth H. Karlsen, Nils H. Risebro
Format: Article
Language:English
Published: Texas State University 2003-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlinear degenerate parabolic equations
weakly coupled systems
entropy solution
uniqueness
existence
finite difference method
Online Access:http://ejde.math.txstate.edu/Volumes/2003/46/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2003/46/abstr.html

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