Title
On the Attainable Set for a Scalar Nonconvex Conservation Law.
Abstract
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 v to be attained at a fixed time T by a trajectory of the conservation law.
Year
DOI
Venue
2017
10.1137/16M1085966
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Keywords
Field
DocType
scalar conservation laws,nonconvex flux,control
Cauchy problem,Fixed time,Inflection point,Geodetic datum,Mathematical optimization,Mathematical analysis,Scalar (physics),Flux,Trajectory,Conservation law,Mathematics
Journal
Volume
Issue
ISSN
55
4
0363-0129
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Boris Andreianov1275.70
Carlotta Donadello201.01
Andrea Marson301.01