Well-posedness of a model for water waves with viscosity

DOI10.3934/dcdsb.2012.17.1113zbMath1238.35093OpenAlexW2029179698MaRDI QIDQ423823

Jerry L. Bona, David P. Nicholls, David M. Ambrose

Publication date: 30 May 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.1113

zbMATH Keywords

well-posednesswater wavesweakly nonlinearfree-surface potential flowsweak viscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) Free-surface potential flows for incompressible inviscid fluids (76B07) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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