Unique solvability of the water waves problem in Sobolev spaces

DOI10.1134/S0037446616010110zbMath1343.35195MaRDI QIDQ299166

V. I. Nalimov

Publication date: 22 June 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesunique solvabilitywater wavesDirichlet-Neumann operator

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

• Differential properties of the Dirichlet-Neumann operator
• Mathematical aspects of surface water waves
• Well-posedness in Sobolev spaces of the full water wave problem in 3-D
• Well-posedness of the water-waves equations
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