Remarks on the Global Solutions of 3-D Navier-Stokes System with One Slow Variable

DOI10.1080/03605302.2014.989329zbMath1323.35128arXiv1403.4042OpenAlexW2012212357MaRDI QIDQ5256310

Jean-Yves Chemin, Ping Zhang

Publication date: 22 June 2015

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4042

zbMATH Keywords

Littlewood-Paley theorydecay estimate3D Navier-Stokes systemslow variable

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (12)

Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative ⋮ Global solutions to 3D incompressible Navier-Stokes equations with some large initial data ⋮ Stable shock formation for nearly simple outgoing plane symmetric waves ⋮ The continuous dependence for the Navier-Stokes equations in \(\dot{B}^{\frac{d}{p}-1}_{p,r}\) ⋮ Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative ⋮ Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction ⋮ Decay estimates to the inhomogeneous Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient ⋮ On the global stability of large Fourier mode for 3-D Navier-Stokes equations ⋮ Global well-posedness of 3D homogeneous and inhomogeneous MHD system with small unidirectional derivative ⋮ INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA ⋮ Global solutions of 3-d Navier-Stokes system with small unidirectional derivative

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