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

Author:

Andronov A. N.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference13 articles.

1. Loginov, B.V., Applications of Bifurcation Problems with Symmetry Breaking, in Nelineinyi analiz i nelineinye differentsial’nye uravneniya (Nonlinear Analysis and Nonlinear Differential Equations), Trenogin, V.A. and Filippov, A.F., Eds., Moscow: Fizmatlit, 2003, pp. 120–144.

2. Okamoto, H. and Shoji, M., The Mathematical Theory of Permanent Progressive Water-Waves, World Sci., 2001.

3. Taktarov, N.G. and Barinov, V.A., Matematicheskoe modelirovanie magnitogidrodinamicheskikh poverkhnostnykh voln (Mathematical Modeling of Magneto-Hydrodynamic Surface Waves), Saransk: Mordov. Gos. Univ., 1981.

4. Twombley, E.E. and Thomas, J.W., Bifurcating Instability of the Free Surface of a Ferrofluid, SIAM J. Math. Anal., 1983, vol. 14, no. 4, pp. 736–767.

5. Abdullaeva, F.Dzh., Branching and Stability of Solutions of a System of Differential Equations for a Free Surface of a Magnetic Fluid, Cand. Sci. (Phys.-Math.) Dissertation, Tashkent, 1993.

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