On the attainable set for a scalar nonconvex conservation law
BP Andreianov, C Donadello, A Marson - SIAM Journal on Control and …, 2017 - SIAM
BP Andreianov, C Donadello, A Marson
SIAM Journal on Control and Optimization, 2017•SIAMWe deal with a Cauchy problem for a scalar conservation law in one space dimension. The
flux function is assumed to be nonconvex, in particular, to have a single inflection point. We
consider a compactly supported initial datum and regard it as a control. The main result of
the paper states sufficient conditions for a function v to be attained at a fixed time T by a
trajectory of the conservation law.
flux function is assumed to be nonconvex, in particular, to have a single inflection point. We
consider a compactly supported initial datum and regard it as a control. The main result of
the paper states sufficient conditions for a function v to be attained at a fixed time T by a
trajectory of the conservation law.
We deal with a Cauchy problem for a scalar conservation law in one space dimension. The flux function is assumed to be nonconvex, in particular, to have a single inflection point. We consider a compactly supported initial datum and regard it as a control. The main result of the paper states sufficient conditions for a function to be attained at a fixed time by a trajectory of the conservation law.
Society for Industrial and Applied MathematicsShowing the best result for this search. See all results