Hyperbolic Conservation Laws,Integral Balance Laws and Regularity of Fluxes

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外文摘要：Hyperbolic conservation laws arise in the context of continuum physics,and are mathemat-ically presented in differential form and understood in the distributional(weak)sense.The formal application of the Gauss-Green theorem results in integral balance laws,in which the concept of flux plays a central role.This paper addresses the spacetime viewpoint of the flux regularity,providing a rigorous treatment of integral balance laws.The established Lipschitz regularity of fluxes(over time intervals)leads to a consistent flux approximation.Thus,fully discrete finite volume schemes of high order may be consistently justified with reference to the spacetime integral balance laws.

外文关键词：

Balance lawsHyperbolic conservation lawsFinite volume approximationsFlux regularityConsistency

作者：

Matania Ben-Artzi、Jiequan Li

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作者单位：

Institute of Mathematics,Hebrew University of Jerusalem,Jerusalem 91904,Israel

Academy for Multidisciplinary Studies,Capital Normal University,Beijing 100048,China

State Key Laboratory for Turbulence Research and Complex System,Peking University,Beijing 100871,China

出版年：

2024

DOI：