Wave patterns for shallow water equations

Chiu Ya Lan, Huey Er Lin

研究成果: 雜誌貢獻期刊論文同行評審

摘要

We consider the time-asymptotic behavior of the system of shallow water equations with one bump in one dimension. Our main interest is in the issue of nonlinear stability and instability of the waves, particularly for the transonic flow. In this paper, the formation of the asymptotic wave patterns is done by combining elementary nonlinear waves, shock and rarefaction waves for the conservation laws, and stationary waves. We also describe the bifurcations of the wave patterns as the end states vary.

原文英語
頁(從 - 到)225-249
頁數25
期刊Quarterly of Applied Mathematics
63
發行號2
DOIs
出版狀態已發佈 - 2005 六月

ASJC Scopus subject areas

  • 應用數學

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