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Equadiff 2007
August 5-11, 2007
Vienna University of Technology
Vienna, Austria

Organizers
Anton Arnold, Josef Hofbauer, Christian Schmeiser, Alois Steindl, Peter Szmolyan, Gerald Teschl, Josef Teichmann

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Contractivity and asymptotics in Wasserstein metrics for (viscous)nonlinear scalar conservation laws.
by
Marco Di Francesco
University of L'Aquila
Coauthors: Jose' A. Carrillo (UAB Barcelona) Corrado Lattanzio (University of L'Aquila)

We study the long time asymptotics of one–dimensional scalar conservation laws with probability densities as initial data and we generalize our results to the case of viscous conservation laws with nonlinear degenerate diffusions.

The non–strict contraction of the maximal transport distance together with a uniform expansion of the solutions lead to the existence of time–dependent asymptotic profiles for a large class of convection–diffusion problems with general nonlinearities and with degenerate diffusion.

Date received: July 25, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavl-61.