Lagrangian approach to global well-posedness of the viscous surface wave equations without surface tension

DOI10.1007/s42543-020-00024-4zbMath1466.35284arXiv1911.06506OpenAlexW3103870655MaRDI QIDQ2035424

Guilong Gui

Publication date: 24 June 2021

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

Full work available at URL: https://arxiv.org/abs/1911.06506

zbMATH Keywords

global well-posednessLagrangian coordinatesviscous surface waves

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Global well-posedness and time-decay for the full compressible non-resistive MHD equations in a 3D infinite slab ⋮ Global well‐posedness for the three‐dimensional incompressible viscous nonresistive magnetohydrodynamics equations in an infinite slab ⋮ Maximal \(L^1\)-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space ⋮ Compressible viscous heat-conducting surface wave without surface tension ⋮ Well-posedness of the surface wave problem for two dimensional micropolar fluids ⋮ Lagrangian approach to global well-posedness of viscous incompressible MHD equations ⋮ Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab

Cites Work

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