In this paper we consider a family of scalar conservation laws de- fined on an oriented star shaped graph and we study their vanishing viscosity approximations subject to general matching conditions at the node. In partic- ular, we prove the existence of converging subsequence and we show that the limit is a weak solution of the original problem.
Vanishing viscosity on a star-shaped graph under general transmission conditions at the node / Maria Coclite, Giuseppe; Donadello, Carlotta. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - STAMPA. - 15:2(2020), pp. 197-213. [10.3934/nhm.2020009]
Vanishing viscosity on a star-shaped graph under general transmission conditions at the node
Maria Coclite, Giuseppe
;
2020-01-01
Abstract
In this paper we consider a family of scalar conservation laws de- fined on an oriented star shaped graph and we study their vanishing viscosity approximations subject to general matching conditions at the node. In partic- ular, we prove the existence of converging subsequence and we show that the limit is a weak solution of the original problem.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
