Anisotropic decay and global well-posedness of viscous surface waves without surface tension

DOI10.1016/j.aim.2020.107330zbMath1448.35372arXiv1911.03812OpenAlexW3047600960MaRDI QIDQ2006057

Yanjin Wang

Publication date: 8 October 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03812

zbMATH Keywords

Navier-Stokes equationsdecayfree boundary problemsglobal well-posednessviscous surface waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Interfacial stability and instability in hydrodynamic stability (76E17) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35)

Related Items (2)

Global well-posedness of free interface problems for the incompressible inviscid resistive MHD ⋮ Well-posedness of the surface wave problem for two dimensional micropolar fluids

Cites Work

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• Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
• Large time existence of small viscous surface waves without surface tension
• Commutator estimates and the euler and navier-stokes equations
• The initial value problem for the navier-stokes equations with a free surface

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