Anisotropic Navier-Stokes equation in critical spaces
From MaRDI portal
Publication:2567446
DOI10.4171/RMI/420zbMath1110.35060MaRDI QIDQ2567446
Publication date: 5 October 2005
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/39746
Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous-inviscid interaction (76D09)
Related Items (77)
Gevrey regularity and existence of Navier-Stokes-Nernst-Planck-Poisson system in critical Besov spaces ⋮ Global strong solution to the 3D incompressible magnetohydrodynamic system in the scaling invariant Besov-Sobolev-type spaces ⋮ Stability result for the surface quasi-geostropic equations with horizontal dissipation in anisotropic Sobolev space ⋮ Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative ⋮ About some possible blow-up conditions for the 3-D Navier-Stokes equations ⋮ Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity ⋮ Asymptotics and lower bound for the lifespan of solutions to the primitive equations ⋮ Global well-posedness of the three dimensional incompressible anisotropic Navier-Stokes system ⋮ Global existence and uniqueness theorem to 2-D incompressible non-resistive MHD system with non-equilibrium background magnetic field ⋮ Global well-posedness of 3-D inhomogeneous Navier-Stokes system with initial velocity being a small perturbation of 2-D solenoidal vector field ⋮ Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space ⋮ Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data ⋮ On the global well-posedness to the 3-D incompressible anisotropic magnetohydrodynamics equations ⋮ Stability to the global large solutions of 3-D Navier-Stokes equations ⋮ 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 ⋮ Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations ⋮ Local and global strong solution to the stochastic 3-D incompressible anisotropic Navier-Stokes equations ⋮ Global small analytic solutions of MHD boundary layer equations ⋮ Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces ⋮ Improved blow up criterion for the three dimensional incompressible magnetohydrodynamics system ⋮ A global existence result for the anisotropic rotating magnetohydrodynamical systems ⋮ On the striated regularity for the 2D anisotropic Boussinesq system ⋮ Global Solutions of 3-D Inhomogeneous Navier-Stokes System with Large Viscosity in One Variable ⋮ On the stability in weak topology of the set of global solutions to the Navier-Stokes equations ⋮ Wellposedness for anisotropic rotating fluid equations ⋮ On two-dimensional magnetic Bénard problem with mixed partial viscosity ⋮ Existence and uniqueness of global solutions for the modified anisotropic 3D 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 ⋮ Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative ⋮ The Influence of Viscous Coefficients on the Lifespan of 3-D Anisotropic Navier–Stokes System ⋮ Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction ⋮ Global existence and decay estimates of solutions for the compressible Prandtl type equations with small analytic data ⋮ Global well-posedness for the 3-D incompressible anisotropic rotating Navier-Stokes equations ⋮ Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions ⋮ Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient ⋮ Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation ⋮ A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations ⋮ Large time behavior for the Hall-MHD equations with horizontal dissipation ⋮ Global well-posedness of 3D homogeneous and inhomogeneous MHD system with small unidirectional derivative ⋮ Global regularity for some classes of large solutions to the Navier-Stokes equations ⋮ Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces ⋮ Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable ⋮ Stability by rescaled weak convergence for the Navier-Stokes equations ⋮ Large time behavior of solutions to 3-D MHD system with initial data near equilibrium ⋮ Global small solutions of 2-D incompressible MHD system ⋮ On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: well-prepared data ⋮ Well-posedness for the Hall-magnetohydrodynamics system in critical space ⋮ On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations ⋮ Global solutions for the 3-D incompressible nonhomogeneous MHD equations ⋮ Uniqueness result for the 3-D Navier-Stokes-Boussinesq equations with horizontal dissipation ⋮ On the critical one component regularity for 3-D Navier-Stokes system: general case ⋮ Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case ⋮ Global solutions to chemotaxis-Navier-Stokes equations in critical Besov spaces ⋮ Phase space analysis of semilinear parabolic equations ⋮ Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion ⋮ Global existence for the primitive equations with small anisotropic viscosity ⋮ Uniform convergence for complex diffusion equation via a probabilistic approach and application ⋮ INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA ⋮ Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation ⋮ Global existence and the decay of solutions to the Prandtl system with small analytic data ⋮ On the critical one-component velocity regularity criteria to 3-D incompressible MHD system ⋮ Long time well-posedness of Prandtl system with small and analytic initial data ⋮ Well-posedness for the 3D incompressible nematic liquid crystal system in the critical \(L^p\) framework ⋮ Global solutions of 3-d Navier-Stokes system with small unidirectional derivative ⋮ Uniform local existence for inhomogeneous rotating fluid equations ⋮ Damping effects in boundary layers for rotating fluids with small viscosity ⋮ Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions ⋮ Asymptotic behavior of exact solutions for the Cauchy problem to the 3D cylindrically symmetric Navier–Stokes equations ⋮ On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium ⋮ Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force ⋮ Exact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equations ⋮ Generalized Navier–Stokes equations with nonlinear anisotropic viscosity ⋮ Some remarks about the possible blow-up for the Navier-Stokes equations ⋮ On the hydrostatic approximation of the Navier-Stokes equations in a thin strip ⋮ Global regularity for generalized anisotropic Navier–Stokes equations
This page was built for publication: Anisotropic Navier-Stokes equation in critical spaces
