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Nonstationary free boundary problem for perfect fluid with surface tension

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Publication:1820044
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DOI10.2969/jmsj/03830381zbMath0614.76012OpenAlexW2034443548MaRDI QIDQ1820044

Hisashi Okamoto

Publication date: 1986

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03830381

zbMATH Keywords

Dirichlet problemstability analysisfree boundary problemperturbation methodHilbert transformHille-Yoshida theoryincompressible inviscid fluidCauchy-Riemann equationtrivial solutionflow around a celestial bodynonstationary irrotational motionSelf-gravitation


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Perturbations in context of PDEs (35B20) Initial value problems for second-order hyperbolic equations (35L15)


Related Items

Discrete Spectrum of Bifurcation of Exact Solutions for Stationary Longitudinal Waves in the Flow of Perfect Fluid Around a Circular Body of a Large Radius, On the irrotational flow of incompressible ideal fluid in a circular domain with free surface



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