Global regularity of the three-dimensional equations for nonhomogeneous incompressible fluids

DOI10.1016/j.na.2014.07.014zbMath1301.35096OpenAlexW1986094542MaRDI QIDQ743856

Chong Zhao, Peixin Zhang, Jian-Wen Zhang

Publication date: 1 October 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.07.014

zbMATH Keywords

vacuumNavier-Stokes equationsglobal regularitynonhomogeneous incompressible fluids

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

Related Items (7)

Global strong solutions to the 3D incompressible Navier–Stokes equations with large external force ⋮ Global regularity of 3D nonhomogeneous incompressible micropolar fluids ⋮ Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping. ⋮ Global regularity to the 3D incompressible MHD equations ⋮ Cartesian solutions for the incompressible density-dependent Euler-Poisson equations in \(\mathbb R^N\) ⋮ Global strong solution to the 2D inhomogeneous incompressible magnetohydrodynamic fluids with density-dependent viscosity and vacuum ⋮ A note on blow-up criterion of strong solutions for the 3D inhomogeneous incompressible Navier-Stokes equations with vacuum

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