ON THE ATTAINABLE SET FOR A SCALAR NONCONVEX CONSERVATION LAW
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | ON THE ATTAINABLE SET FOR A SCALAR NONCONVEX CONSERVATION LAW |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | Andreianov BP, Donadello C, Marson A |
| Journal | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
| Volume | 55 |
| Pagination | 2235-2270 |
| Type of Article | Article |
| ISSN | 0363-0129 |
| Mots-clés | Control, nonconvex flux, Scalar conservation laws |
| Résumé | 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. |
| DOI | 10.1137/16M1085966 |