% 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.
@article{bwmeta1.element.bwnjournal-article-bcpv52z1p119bwm,
author = {Goncerzewicz, Jan and Hilhorst, Danielle},
title = {Large time behaviour of a class of solutions of second order conservation laws},
journal = {Banach Center Publications},
volume = {51},
year = {2000},
pages = {119-132},
zbl = {0957.35075},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv52z1p119bwm}
}
Goncerzewicz, Jan; Hilhorst, Danielle. Large time behaviour of a class of solutions of second order conservation laws. Banach Center Publications, Tome 51 (2000) pp. 119-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv52z1p119bwm/
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