Large time behaviour of a class of solutions of second order conservation laws

• Autorzy: Jan Goncerzewicz , Danielle Hilhorst
• Języki publikacji: EN

Abstrakty

EN

% 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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 52
• Numer: 1
• Strony: 119-132

Daty

wydano

2000

Twórcy

autor

Jan Goncerzewicz

• Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Danielle Hilhorst

• Analyse Numérique et EDP, CNRS et Université de Paris-Sud, 91405 Orsay Cedex, France

Bibliografia

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