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;
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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.
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页码：758 / 763
页数：5
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