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Pré-Publication, Document De Travail Année : 2019

VANISHING VISCOSITY ON A STAR-SHAPED GRAPH UNDER GENERAL TRANSMISSION CONDITIONS AT THE NODE

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.
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Dates et versions

hal-02130570 , version 1 (15-05-2019)

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  • HAL Id : hal-02130570 , version 1

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Giuseppe M Coclite, Carlotta Donadello. VANISHING VISCOSITY ON A STAR-SHAPED GRAPH UNDER GENERAL TRANSMISSION CONDITIONS AT THE NODE. 2019. ⟨hal-02130570⟩
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