Une théorie trois-dimensionnelle des ondes de surface de l'eau et le développement de Friedrichs. I. (A three dimensional theory of surface waves of water and the expansion of Friedrichs. I.)

DOI10.1215/kjm/1250520969zbMath0609.76012OpenAlexW4236831238MaRDI QIDQ1087068

Tadayoshi Kano

Publication date: 1986

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520969

zbMATH Keywords

Cauchy problemfree boundary problemboundary problemexistence theoremvelocity potentialanalytical analysisapriori estimatesthree dimensional, irrotational surface waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic expansions of solutions to PDEs (35C20) Free boundary problems for PDEs (35R35) Partial differential equations of mathematical physics and other areas of application (35Q99) Miscellaneous applications of functional analysis (46N99)

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