Large time behaviour of a class of solutions of second order conservation laws
Jan Goncerzewicz, Danielle Hilhorst (2000)
Banach Center Publications
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% We study the large time behaviour of entropy solutions of the Cauchy problem for a possibly degenerate nonlinear diffusion equation with a nonlinear convection term. The initial function is assumed to have bounded total variation. We prove the convergence of the solution to the entropy solution of a Riemann problem for the corresponding first order conservation law.