Stability to the global large solutions of 3-D Navier-Stokes equations

DOI10.1016/j.aim.2010.03.022zbMath1202.35004OpenAlexW4246824974MaRDI QIDQ2637910

Ping Zhang, Guilong Gui

Publication date: 13 September 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.03.022

zbMATH Keywords

stabilityNavier-Stokes equationsLittlwood-Paley theory

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items

Gevrey regularity and existence of Navier-Stokes-Nernst-Planck-Poisson system in critical Besov spaces ⋮ The sharp time decay rates and stability of large solutions to the two-dimensional Phan-Thien–Tanner system with magnetic field ⋮ On the stability of global solutions to the 3D Boussinesq system ⋮ On the global well-posedness to the 3-D incompressible anisotropic magnetohydrodynamics equations ⋮ On the global well-posedness to the 3-D Navier-Stokes-Maxwell system ⋮ Global well-posedness for the 2-D nonhomogeneous incompressible MHD equations with large initial data ⋮ Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions ⋮ Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity ⋮ On the stability of global solutions to the three-dimensional Navier-Stokes equations ⋮ Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces ⋮ Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity ⋮ On the stability in weak topology of the set of global solutions to the Navier-Stokes equations ⋮ Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity ⋮ The optimal upper and lower bounds of convergence rates for the 3D Navier-Stokes equations under large initial perturbation ⋮ Sharp Rates of Decay and Global-in-Time Stability of Large Solutions to The Three-Dimensional Incompressible Phan-Thien–Tanner System of Polymeric Flows ⋮ On some large global solutions to the incompressible inhomogeneous nematic liquid crystal flows ⋮ Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system ⋮ Global well-posedness for the 3-D Boussinesq system with damping ⋮ Time decay and stability of solutions for the 3D density-dependent incompressible Boussinesq system ⋮ Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces ⋮ Well-posedness for the Hall-magnetohydrodynamics system in critical space ⋮ On the decay and stability of global solutions to the 3-D inhomogeneous Navier-Stokes equations ⋮ Global well-posedness of the generalized incompressible Navier-Stokes equations with large initial data ⋮ Global large solutions and optimal time-decay estimates to the Korteweg system ⋮ Global well-posedness and temporal decay estimates for the 3D nematic liquid crystal flows ⋮ Global solutions to the 3D incompressible nematic liquid crystal system ⋮ Local and global existence results for the Navier-Stokes equations in the rotational framework ⋮ Well-posedness for the 3D incompressible nematic liquid crystal system in the critical \(L^p\) framework ⋮ Global well-posedness for the 3D Navier-sokes equations with a large component of vorticity ⋮ Global Solutions to the 3-D Incompressible Inhomogeneous Navier–Stokes System with Rough Density ⋮ Global stability of solutions with large initial conditions for the Navier-Stokes equations with damping ⋮ Stability behaviors of Leray weak solutions to the three-dimensional Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space
• The resolution of the Navier-Stokes equations in anisotropic spaces
• Global stability of large solutions to the 3D Navier-Stokes equations
• Asymptotics and stability for global solutions to the Navier-Stokes equations.
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations
• Anisotropic Navier-Stokes equation in critical spaces
• Large, global solutions to the Navier-Stokes equations, slowly varying in one direction
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• A Uniqueness Result for the Navier--Stokes Equations with Vanishing Vertical Viscosity
• Fluids with anisotropic viscosity
• One component regularity for the Navier–Stokes equations