On the attainable set for a scalar nonconvex conservation law

Abstract : We consider a Cauchy problem for a scalar conservation law in one space dimension with a compactly supported initial datum. The flux function f is assumed to be non convex, in particular to have a single inflection point. We regard the initial datum as a control. The main result of the paper states sufficient conditions for a function v to be attained at time T by a trajectory the equation.
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Submitted on : Wednesday, July 20, 2016 - 10:26:29 AM
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Boris Andreianov, Carlotta Donadello, Andrea Marson. On the attainable set for a scalar nonconvex conservation law. 2016. ⟨hal-01346993⟩

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