Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative

DOI10.1007/s00205-020-01555-xzbMath1446.35103arXiv1905.00156OpenAlexW3098986910MaRDI QIDQ2192395

Yanlin Liu, Ping Zhang, Marius Paicu

Publication date: 17 August 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00156

zbMATH Keywords

Navier-Stokes systemglobal unique solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Analyticity in context of PDEs (35A20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (11)

Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative ⋮ Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations ⋮ Large time behavior of solutions to the 3D anisotropic Navier-Stokes equation ⋮ 3D anisotropic Navier–Stokes equations in T2×R  : stability and large-time behaviour ⋮ The Influence of Viscous Coefficients on the Lifespan of 3-D Anisotropic Navier–Stokes System ⋮ Global well-posedness for the 3-D incompressible anisotropic rotating Navier-Stokes equations ⋮ Large time behavior of the solutions to 3D incompressible MHD system with horizontal dissipation or horizontal magnetic diffusion ⋮ Global well-posedness of 3D homogeneous and inhomogeneous MHD system with small unidirectional derivative ⋮ Stability of the 3D incompressible Navier-Stokes equations with fractional horizontal dissipation ⋮ Global solutions of 3-d Navier-Stokes system with small unidirectional derivative ⋮ A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation

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