Critical conditions on \(w^\theta\) imply the regularity of axially symmetric MHD-Boussinesq systems
From MaRDI portal
Publication:2235878
DOI10.1016/j.jmaa.2021.125451zbMath1489.35211OpenAlexW3174049626MaRDI QIDQ2235878
Publication date: 22 October 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125451
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)
Related Items
On a single-component regularity criterion for the non-resistive axially symmetric Hall-MHD system ⋮ On the large data global well-posedness of inviscid axially symmetric MHD-Boussinesq system ⋮ Regularity criteria for the 3D axisymmetric non-resistive MHD system in the swirl component of the vorticity ⋮ Global well-posedness and asymptotic behavior of the 3D MHD-Boussinesq equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global small solutions of 2-D incompressible MHD system
- On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion
- Global well-posedness for the Euler-Boussinesq system with axisymmetric data
- On the global regularity of axisymmetric Navier-Stokes-Boussinesq system
- Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data
- On the interior regularity of weak solutions of the Navier-Stokes equations
- BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
- Regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations
- On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Mathematical theory of incompressible nonviscous fluids
- Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
- On the regularity of the axisymmetric solutions of the Navier-Stokes equations
- On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
- Global well-posedness of the incompressible magnetohydrodynamics
- Global well-posedness of the viscous Boussinesq equations
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- Global smooth axisymmetic solutions of the Boussinesq equations for magnetohydrodynamics convection
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion
- Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- Un teorema di unicita per le equazioni di Navier-Stokes
- The initial value problem for the Navier-Stokes equations with data in L\(^p\)
- Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
- On interior regularity criteria for weak solutions of the Navier-Stokes equations
- Remarks on the blow-up criterion of the three-dimensional Euler equations
- On partial regularity results for the navier-stokes equations
- Commutator estimates and the euler and navier-stokes equations
- Limiting case of the Sobolev inequality in BMO, with application to the Euler equations