Global regularity of the 2D generalized MHD equations with velocity damping and Laplacian magnetic diffusion
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Publication:2116240
DOI10.1007/s00033-022-01699-8zbMath1490.35362OpenAlexW4214487119MaRDI QIDQ2116240
Publication date: 16 March 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-022-01699-8
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)
Cites Work
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- On the uniqueness for the 2D MHD equations without magnetic diffusion
- Global regularity for a class of generalized magnetohydrodynamic equations
- On global regularity of 2D generalized magnetohydrodynamic equations
- Global Cauchy problem of 2D generalized MHD equations
- Global small solutions of 2-D incompressible MHD system
- Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
- Global well-posedness for the Euler-Boussinesq system with axisymmetric data
- Well-posedness of the ideal MHD system in critical Besov spaces
- Local existence for the non-resistive MHD equations in Besov spaces
- On the equations of ideal incompressible magneto-hydrodynamics
- Generalized MHD equations.
- Global smooth solutions of the 2D MHD equations for a class of large data without magnetic diffusion
- Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
- Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum
- Commutator estimates with fractional derivatives and local existence for the generalized MHD equations
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
- Global regularity of 2D generalized MHD equations with magnetic diffusion
- On regularity criteria for the 2D generalized MHD system
- An Introduction to Magnetohydrodynamics
- Local well-posedness for the Cauchy problem of the MHD equations with mass diffusion
- Some mathematical questions related to the mhd equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
- Continuity of Solutions of Parabolic and Elliptic Equations
- The 2D magnetohydrodynamic equations with magnetic diffusion
- Commutator estimates and the euler and navier-stokes equations
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- Maximal Regularity for Nonautonomous Evolution Equations
- Global Small Solution to the 2D MHD System with a Velocity Damping Term
- The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
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