Abstract | ||
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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 |
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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 Andreianov | 1 | 27 | 5.70 |
Carlotta Donadello | 2 | 0 | 1.01 |
Andrea Marson | 3 | 0 | 1.01 |