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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
  2. Analyse Numérique et EDP, CNRS et Université de Paris-Sud, 91405 Orsay Cedex, France

Abstract

% 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.

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Banach Center Publications
2000/52/1
Export to PBN, Opens in new tab
Pages:
119-132
Main language of publication
English
Published
2000
Exact and natural sciences