System of Laplace equations in a half-space with a free interface,capillary-gravitational waves,bifurcation, and symmetry |
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Authors: | A N Andronov |
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Institution: | 1.Mordovia State University,Saransk,Russia |
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Abstract: | 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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Keywords: | |
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