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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Nicholas Leger Carnegie Melllon University Title: Relative entropy and the stability of shocks for systems of conservation laws Abstract: We develop a theory based on relative entropy to show the stability and uniqueness of extremal entropic Rankine-Hugoniot discontinuities for systems of conservation laws (typically 1-shocks, n-shocks, 1-contact discontinuities and n-contact discontinuities of big amplitude), among bounded entropic weak solutions having an additional strong trace property. The existence of a convex entropy is needed. No BV estimate is needed on the weak solutions considered. The theory holds without smallness condition. The assumptions are quite general. For instance, strict hyperbolicity is not needed globally. For fluid mechanics, the theory handles solutions with vacuum.Date: Tuesday, September 7, 2010Time: 1:30 pmLocation: Wean Hall 8220Submitted by: Dejan Slepcev |