期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 40, 期 2, 页码 605-622出版社
SIAM PUBLICATIONS
DOI: 10.1137/070690298
关键词
hyperbolic systems of conservation laws; p-system; St. Venant equations
资金
- DFG Program [1253]
- DAAD Vigoni project [D/06/19582]
This paper deals with 2 x 2 conservation laws at a junction. For the Cauchy problem, existence, uniqueness, and Lipschitz continuous dependence of the solution from the initial data as well as from the conditions at the junction are proved. The present construction comprehends the case of the p-system used to describe gas flow in networks and hereby unifies different approaches present in the literature. Furthermore, different models for water networks are considered.
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