SOLVABILITY OF INITIAL-BOUNDARY VALUE PROBLEMS FOR EULER'S EQUATIONS FOR FLOWS OF AN IDEAL INCOMPRESSIBLE NONHOMOGENEOUS FLUID AND AN IDEAL BAROTROPIC FLUID BOUNDED BY FREE SURFACES

DOI10.1070/SM1995V083N02ABEH003595zbMath0844.76014OpenAlexW2043837328MaRDI QIDQ4863192

V. I. Sedenko

Publication date: 16 June 1996

Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1995v083n02abeh003595

zbMATH Keywords

uniquenesslocal existencenonlinear operatorhomogeneous Dirichlet problemscale of Banach spacesflat layerabstract Ovsyannikov-Nirenberg-Nishida form of Cauchy-Kovalevskaya theorem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47)

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