A note on the blow-up criterion of smooth solutions to the 3D incompressible MHD equations
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Publication:692702
DOI10.1007/s10255-012-0175-1zbMath1253.76131OpenAlexW2128012442MaRDI QIDQ692702
Publication date: 6 December 2012
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-012-0175-1
Smoothness and regularity of solutions to PDEs (35B65) Magnetohydrodynamics and electrohydrodynamics (76W05)
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Dynamic bifurcation for the granulation convection in the solar photosphere ⋮ Optimal decay rate and convergence of the incompressible viscous resistive MHD system ⋮ On the blow-up criterion of smooth solutions for Hall-magnetohydrodynamics system with partial viscosity ⋮ Global existence of solutions for the thermoelastic Bresse System
Cites Work
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- Remarks on regularities for the 3D MHD equations
- On the blow-up criterion of smooth solutions to the 3D ideal MHD equations
- Regularity criteria for the 3D MHD equations in terms of the pressure
- Logarithmically improved regularity criteria for the Navier-Stokes equations in multiplier spaces
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
- The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
- Regularity criteria for the generalized viscous MHD equations
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- Some mathematical questions related to the mhd equations
- Some observations on Besov and Lizorkin-Triebel spaces.
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