Vanishing viscosity on a star-shaped graph under general transmission conditions at the node | Zendy

Giuseppe Maria Coclite | Zendy; Carlotta Donadello | Zendy

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Vanishing viscosity on a star-shaped graph under general transmission conditions at the node

Author(s) -

Giuseppe Maria Coclite,

Carlotta Donadello

Publication year - 2020

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2020009

Subject(s) - conservation law , subsequence , star (game theory) , mathematics , graph , limit (mathematics) , viscosity , node (physics) , matching (statistics) , scalar (mathematics) , mathematical analysis , physics , combinatorics , bounded function , quantum mechanics , geometry , statistics

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.

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