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

Jan Goncerzewicz; Danielle Hilhorst

Banach Center Publications (2000)

  • Volume: 52, Issue: 1, page 119-132
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Goncerzewicz, Jan, and Hilhorst, Danielle. "Large time behaviour of a class of solutions of second order conservation laws." Banach Center Publications 52.1 (2000): 119-132. <http://eudml.org/doc/209049>.

@article{Goncerzewicz2000,
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.},
author = {Goncerzewicz, Jan, Hilhorst, Danielle},
journal = {Banach Center Publications},
keywords = {BV initial function; entropy solution of a Riemann problem},
language = {eng},
number = {1},
pages = {119-132},
title = {Large time behaviour of a class of solutions of second order conservation laws},
url = {http://eudml.org/doc/209049},
volume = {52},
year = {2000},
}

TY - JOUR
AU - Goncerzewicz, Jan
AU - Hilhorst, Danielle
TI - Large time behaviour of a class of solutions of second order conservation laws
JO - Banach Center Publications
PY - 2000
VL - 52
IS - 1
SP - 119
EP - 132
AB - % 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.
LA - eng
KW - BV initial function; entropy solution of a Riemann problem
UR - http://eudml.org/doc/209049
ER -

References

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