Global regularity for the 3D Hall-MHD equations with low regularity axisymmetric data
DOI10.1007/s00605-022-01795-xOpenAlexW3157216092MaRDI QIDQ2699872
Publication date: 19 April 2023
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.02419
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Axially symmetric solutions to PDEs (35B07)
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and stability of global large strong solutions for the Hall-MHD system.
- Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
- On the global regularity of axisymmetric Navier-Stokes-Boussinesq system
- Well-posedness for Hall-magnetohydrodynamics
- Local well-posedness for the Hall-MHD system in optimal Sobolev spaces
- Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
- Well-posedness for the incompressible Hall-MHD equations in low regularity spaces
- Global well-posedness of 3D axisymmetric MHD system with pure swirl magnetic field
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Global well-posedness for the Hall-magnetohydrodynamics system in larger critical Besov spaces
- A class large solution of the 3D Hall-magnetohydrodynamic equations
- Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
- Global well-posedness for the 3D axisymmetric Hall-MHD system with horizontal dissipation
- An Introduction to Magnetohydrodynamics
- Fourier Analysis and Nonlinear Partial Differential Equations
- Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
- Commutator estimates and the euler and navier-stokes equations
- Magnetic Reconnection
- On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces
- Liouville type Theorems for the 3D stationary Hall‐MHD equations
This page was built for publication: Global regularity for the 3D Hall-MHD equations with low regularity axisymmetric data