Global regularity for several incompressible fluid models with partial dissipation

DOI10.1007/s00021-016-0291-4zbMath1379.35255OpenAlexW2517238438MaRDI QIDQ1682303

Zhuan Ye, Xiaojing Xu, Jiahong Wu

Publication date: 29 November 2017

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-016-0291-4

zbMATH Keywords

Euler equationBoussinesq equationsglobal regularitysurface quasi-geostrophic equationpartial dissipation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Fractional derivatives and integrals (26A33) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous-inviscid interaction (76D09) Euler equations (35Q31)

Related Items (9)

Stability result for the surface quasi-geostropic equations with horizontal dissipation in anisotropic Sobolev space ⋮ Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium ⋮ Global well‐posedness for incompressible flow in porous media with partial diffusion or fractional diffusion ⋮ Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity ⋮ Global regularity for a class of 2D generalized tropical climate models ⋮ On the global regularity of the 2D Oldroyd-B-type model ⋮ Stability for the 2D anisotropic surface quasi-geostrophic equation with horizontal dissipation ⋮ Note on global regularity of 2D regularized MHD equations with zero magnetic diffusion ⋮ On the global regularity for the anisotropic dissipative surface quasi-geostrophic equation

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