We consider a Cauchy problem for a scalar conservation law in one space dimension with a compactly supported initial datum, and where the flux function is assumed to be non convex, in particular to have a single inflection point. We regard the function initial datum as a control. The main result of the paper states sufficient conditions for a function to be attained at fixed time by a trajectory of of the conservation law.
On the attainable set for a scalar nonconvex conservation law
MARSON, ANDREA
2017
Abstract
We consider a Cauchy problem for a scalar conservation law in one space dimension with a compactly supported initial datum, and where the flux function is assumed to be non convex, in particular to have a single inflection point. We regard the function initial datum as a control. The main result of the paper states sufficient conditions for a function to be attained at fixed time by a trajectory of of the conservation law.
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