A regularity criterion of strong solutions to the 2D compressible magnetohydrodynamic equations
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Publication:282005
DOI10.1016/j.nonrwa.2016.01.011zbMath1338.35088arXiv1501.05417OpenAlexW2963034037MaRDI QIDQ282005
Publication date: 11 May 2016
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.05417
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Strong solutions to PDEs (35D35)
Related Items (7)
Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data ⋮ On classical solutions to the Cauchy problem of the 2D compressible non-resistive MHD equations with vacuum states ⋮ Singularity formation of the compressible non-barotropic flows with zero heat conductivity ⋮ A blowup criterion for the 2D \(k\)-\(\epsilon\) model equations for turbulent flows ⋮ Singularity formation to the two-dimensional non-resistive compressible magnetohydrodynamic equations in a bounded domain ⋮ On formation of singularity of the full compressible magnetohydrodynamic equations with zero heat conduction ⋮ Global strong solutions of a 2-D new magnetohydrodynamic system.
Cites Work
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- Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows
- A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations
- A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
- Blowup criterion for viscous baratropic flows with vacuum states
- On local classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum
- Vanishing shear viscosity limit in the magnetohydrodynamic equations
- Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
- Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
- Strong solution to the compressible magnetohydrodynamic equations with vacuum
- Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
- Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
- Global solutions of nonlinear magnetohydrodynamics with large initial data
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Serrin-type blowup criterion for full compressible Navier-Stokes system
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum
- Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
- Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
- A BLOW-UP CRITERION FOR 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM
- On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
- Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics
- On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum
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