Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential equations

DOI10.1134/S0040577920030095zbMath1456.76017OpenAlexW3015773910MaRDI QIDQ2193698

E. A. Karabut, E. N. Zhuravleva

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577920030095

zbMATH Keywords

ideal incompressible fluidconformal mapdoubly periodic function

Mathematics Subject Classification ID

Complex variables methods applied to problems in fluid mechanics (76M40) Free-surface potential flows for incompressible inviscid fluids (76B07)

Cites Work

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• Fourier method in the problem of small perturbations of colliding jets
• An exact integral equation for solitary waves (with new numerical results for some ‘internal’ properties)
• Unsteady flows with a zero acceleration on the free boundary
• An approximation for the highest gravity waves on water of finite depth

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