System of Laplace equations in a half-space with a free interface, capillary-gravitational waves, bifurcation, and symmetry

被引：0

作者：

A. N. Andronov

机构：

[1] Mordovia State University,

来源：

Differential Equations | 2011年 / 47卷

关键词：

Jacobian Matrix; Laplace Equation; Invariant Manifold; Bifurcation Problem; Free Interface;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the stability of branching solutions of a system of two nonlinearly perturbed Laplace equations in a half-space with two differential relations on the interface. This system describes the motion of a two-layer fluid. To construct and study the related branching systems, methods of group analysis of differential equations (RZhMat 1978 11B883K, RZhMat 1983 11A813K) and the S. Lie-L.V. Ovsyannikov technique of invariants and invariant manifolds are used.

引用

页码：758 / 763

页数：5

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