Why people in hyperbolic conservation laws are interested in free boundary problems.

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• Serre, D (UMPA, ENS-Lyon, France )
• Tuesday 13 May 2014, 15:00-16:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Free Boundary Problems and Related Topics

In hyperbolic equations, wave propagate with finite velocity. When the equation is quasilinear, this velocity depends on the state itself; this non-constancy leads to the formation of shock waves. Shock waves are inherently free boundaries. I shall present illustrate basic concepts in one space dimension and discuss a little bit the multi-dimensional setting, where stability is encoded in a Lopatinskii condition. I’ll also show that in specific problems (steady or self-similar solutions), one is naturally led to deal with elliptic equations.

This talk is part of the Isaac Newton Institute Seminar Series series.

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