The initial-boundary value problem of hyperbolic integro-differential systems of nonlinear balance laws

Shih Wei Chou, John M. Hong, Ying Chin Su

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

This research explores the initial-boundary value problem for the 2 × 2 hyperbolic systems of balance laws whose sources are the time-dependent and contain the integral of unknowns. Perturbed Riemann and boundary Riemann problems are provided to account for the time-dependence of sources. Their approximation solutions are constructed by modified Lax's method. In addition, we introduce a new version of Glimm scheme (GGS) and study its stability which is proved by the wave interaction estimates in a dissipativity assumption. With the consistency of GGS, the existence of a global weak solution satisfying the entropy inequality is then achieved. Finally the Lipschitz continuous solution to the problem is established by the weak convergence of the residual.

原文???core.languages.en_GB???
頁(從 - 到)5933-5960
頁數28
期刊Nonlinear Analysis, Theory, Methods and Applications
75
發行號15
DOIs
出版狀態已出版 - 10月 2012

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