Global \(L^2\) stability of the nonhomogeneous incompressible Navier-Stokes equations

DOI10.1007/s10114-013-1650-1zbMath1290.35182OpenAlexW2029487148MaRDI QIDQ381087

Yan Jie Zhou, Xiao-jing Cai, Quan-sen Jiu

Publication date: 15 November 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1650-1

zbMATH Keywords

global stability for large solutionsnon-homogeneous incompressible Navier-Stokes equationsthree-dimensional bounded and unbounded domains

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)

Related Items

Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions, Global stability of large solutions to the 3D nonhomogeneous incompressible MHD equations, Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions

Cites Work

• Global stability of large solutions to the 3D Navier-Stokes equations
• On the decay and stability of global solutions to the 3-D inhomogeneous Navier-Stokes equations
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
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