標題: Zero-dispersion limit of the short-wave-long-wave interaction equations
作者: Lin, Chi-Kun
Wong, Yau-Shu
應用數學系
Department of Applied Mathematics
關鍵字: zero-dispersion limit;semiclassical limit;long wave;short wave;WKB analysis;dispersive perturbation;quasilinear hyperbolic system;scattering sound wave
公開日期: 1-Sep-2006
摘要: The purpose of this paper is to study the zero-dispersion limit of the water wave interaction equations which arise in modelling surface waves in the present of both gravity and capillary modes. This topic is also of interest in plasma physics. For the smooth solution, the limiting equation is given by the compressible Euler equation with a nonlocal pressure caused by the long wave. For weak solution, when the coupling coefficient lambda is small order of epsilon, lambda = o(epsilon), the wave map equation is derived and the scattering sound wave is shown to satisfy a linear wave equation. (c) 2006 Elsevier Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/j.jde.2006.03.027
http://hdl.handle.net/11536/11855
ISSN: 0022-0396
DOI: 10.1016/j.jde.2006.03.027
期刊: JOURNAL OF DIFFERENTIAL EQUATIONS
Volume: 228
Issue: 1
起始頁: 87
結束頁: 110
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