On the Navier-Stokes equations in scaling-invariant spaces in any dimension
From MaRDI portal
Publication:1725554
DOI10.4171/rmi/1034zbMath1410.35144OpenAlexW2908105684WikidataQ128667354 ScholiaQ128667354MaRDI QIDQ1725554
Publication date: 14 February 2019
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rmi/1034
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Fractional partial differential equations (35R11)
Related Items (2)
Regularity criterion for 3D shear-thinning fluids via one component of velocity ⋮ The anisotropic regularity criteria for 3D Navier-Stokes equations involving one velocity component
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component
- On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces
- Regularity criteria of the 4D Navier-Stokes equations involving two velocity field components
- Global regularity for a class of generalized magnetohydrodynamic equations
- On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations
- On the critical one component regularity for 3-D Navier-Stokes system: general case
- The Navier-Stokes equations in the critical Lebesgue space
- The generalized incompressible Navier-Stokes equations in Besov spaces
- Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
- On the interior regularity of weak solutions of the Navier-Stokes equations
- The spaces \(L^ p\), with mixed norm
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Blow up and regularity for fractal Burgers equation
- Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
- Partial regularity of solutions to the four-dimensional Navier-Stokes equations at the first blow-up time
- Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
- The Navier-Stokes equations in space dimension four
- The resolution of the Navier-Stokes equations in anisotropic spaces
- Generalized MHD equations.
- Horizontal Biot-Savart law in general dimension and an application to the 4D magneto-hydrodynamics.
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- On the Navier-Stokes initial value problem. I
- On the global well-posedness of \(N\)-dimensional generalized MHD system in anisotropic spaces
- Regularity criteria for the generalized viscous MHD equations
- On the critical one component regularity for 3-D Navier-Stokes system
- On partial regularity of steady-state solutions to the 6D Navier-Stokes equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Incompressible flow in porous media with fractional diffusion
- Navier-Stokes equations with regularity in one direction
- On the regularity of the solutions of the Navier–Stokes equations via one velocity component
- Regularity criteria for the three-dimensional Navier-Stokes equations
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness
- The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
- One component regularity for the Navier–Stokes equations
- On the critical one-component velocity regularity criteria to 3-D incompressible MHD system
This page was built for publication: On the Navier-Stokes equations in scaling-invariant spaces in any dimension
