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The 71st Midwest Partial Differential Equations Seminar
May 11-12, 2013
Room TBA East Hall
University of
Michigan
Ann Arbor, MI
Abstract Detail
| Title: Relative entropy applied to the stability of viscous shocks up to a translation for scalar conservation laws
We consider inviscid limits to shocks for viscous scalar conservation
laws in one space dimension, with strict convex fluxes. We obtain sharp estimates in L2, for a class of large perturbations. Those
perturbations can be chosen big enough to destroy the viscous layer. This shows that the fast convergence to the shock does not depend on the fine structure of the viscous layers. This is joint work with A. Vasseur.
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Kyudong Choi
University of Wisconsin-Madison
Email: kchoi@math.wisc.edu
Phone: (608) 262-2925
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Sponsors
National Science Foundation,
Department of Mathematics at the University of Michigan
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