VANISHING VISCOSITY ON A STAR-SHAPED GRAPH UNDER GENERAL TRANSMISSION CONDITIONS AT THE NODE
| Affiliation auteurs | Affiliation ok |
| Titre | VANISHING VISCOSITY ON A STAR-SHAPED GRAPH UNDER GENERAL TRANSMISSION CONDITIONS AT THE NODE |
| Type de publication | Journal Article |
| Year of Publication | 2020 |
| Auteurs | Coclite GMaria, Donadello C |
| Journal | NETWORKS AND HETEROGENEOUS MEDIA |
| Volume | 15 |
| Pagination | 197-213 |
| Date Published | JUN |
| Type of Article | Article |
| ISSN | 1556-1801 |
| Mots-clés | Conservation laws, NETWORKS, transmission conditions at nodes, vanishing viscosity |
| Résumé | In this paper we consider a family of scalar conservation laws defined on an oriented star shaped graph and we study their vanishing viscosity approximations subject to general matching conditions at the node. In particular, we prove the existence of converging subsequence and we show that the limit is a weak solution of the original problem. |
| DOI | 10.3934/nhm.2020009 |