Asymptotics of the solutions of the one-dimensional nonlinear system of equations of shallow water with degenerate velocity

被引：0

作者：

D. S. Minenkov

机构：

[1] Russian Academy of Sciences,Ishlinskii Institute for Problems in Mechanics

来源：

Mathematical Notes | 2012年 / 92卷

关键词：

nonlinear system of equations of shallow water; Carrier-Greenspan transformation; Cauchy problem; Schwartz space; Duhamel integral; Hankel transform;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A system of one-dimensional nonlinear equations of shallow water with degenerate velocity is considered. The change of variables taking the given system to a nonlinear system with small nonlinearity is proposed. Formal asymptotic solutions near the point of degeneracy are obtained.

引用

页码：664 / 672

页数：8

共 11 条

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[9]

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[10]

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