Convergence of approximate solutions to scalar conservation laws by degenerate diffusion
Commun. Korean Math. Soc. 2007 Vol. 22, No. 1, 145-155
Printed March 1, 2007
Seok Hwang
LaGrange college
Abstract : In this paper, we show the convergence of approximate solutions to the convective porous media equation using methodology developed in \cite{HTz}. First, we obtain the approximate transport equation for the given convective porous media equation. Then using the averaging lemma, we obtain the convergence.
Keywords : hyperbolic conservation laws, convective porous media equation, kinetic formulation, averaging lemmas
MSC numbers : 35L65
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