A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity
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Publication:1671113
DOI10.3934/dcdsb.2018079zbMath1395.76104arXiv1608.03557OpenAlexW2963975884MaRDI QIDQ1671113
Gen Nakamura, Jishan Fan, Fu-Cai Li
Publication date: 6 September 2018
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.03557
PDEs in connection with optics and electromagnetic theory (35Q60) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44)
Related Items (7)
Singularity formation to the 2D Cauchy problem of nonbarotropic magnetohydrodynamic equations without heat conductivity ⋮ Formation of singularity for full compressible magnetohydrodynamic equations with zero resistivity in two dimensional bounded domains ⋮ Unnamed Item ⋮ Stability near equilibrium to the full compressible magnetohydrodynamic equations ⋮ Singularity formation of the non-barotropic compressible magnetohydrodynamic equations without heat conductivity ⋮ A regularity criterion for the 2D full compressible MHD equations with zero heat conductivity ⋮ Singularity formation to the two-dimensional non-barotropic non-resistive magnetohydrodynamic equations with zero heat conduction in a bounded domain
Cites Work
- Blow-up criterion for two-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows
- Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows
- A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
- Strong solutions of the compressible nematic liquid crystal flow
- A Beale-Kato-Majda criterion for three-dimensional compressible viscous heat-conductive flows
- The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
- Global variational solutions to the compressible magnetohydrodynamic equations
- Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
- Strong solution to the compressible magnetohydrodynamic equations with vacuum
- On \(BMO\) regularity for linear elliptic systems
- Global existence and convergence rates of smooth solutions for the full compressible MHD equations
- Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
- Regularity criteria for the three-dimensional magnetohydrodynamic equations
- Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
- Low Mach number limit for the multi-dimensional full magnetohydrodynamic equations
- L∞continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Estimating ∇u by divu and curlu
- A blow-up criterion to the 2D full compressible magnetohydrodynamic equations
- Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations
- A blow-up criterion for compressible viscous heat-conductive flows
- Unnamed Item
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