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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: Steady and Self-Similar Inviscid Flow
We consider solutions to two-dimensional strictly hyperbolic conservation laws (for example, the isentropic Euler equations) that are steady in time and constant along rays starting at the origin. We show that any admissible bounded solution that is a small perturbation of a constant supersonic state is of bounded variation, and also investigate the possible structures of these solutions. As a corollary, our results extend some regularity and uniqueness results for one-dimensional Riemann problems. (Joint work with Volker Elling.)
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Joe Roberts
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Sponsors
National Science Foundation,
Department of Mathematics at the University of Michigan
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