Regularity criterion for a weak solution to the three-dimensional magneto-micropolar fluid equations
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Publication:2444606
DOI10.1186/1687-2770-2013-58zbMath1288.35149OpenAlexW2161930979WikidataQ59301747 ScholiaQ59301747MaRDI QIDQ2444606
Publication date: 10 April 2014
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2013-58
weak solutionregularity criterionmagneto-micropolar fluid equationscondition on the derivative of the velocity field
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order parabolic systems (35K45)
Related Items
Blow-up criteria of smooth solutions to the three-dimensional magneto-micropolar fluid equations ⋮ Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity ⋮ On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity ⋮ Regularity criteria for weak solutions of the magneto-micropolar equations ⋮ Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity ⋮ Global regularity of 3D magneto-micropolar fluid equations ⋮ Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids
Cites Work
- A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces
- A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field
- Two regularity criteria for the 3D MHD equations
- Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space
- Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
- A note on the existence and uniqueness of solutions of the micropolar fluid equations
- Viscous and inviscid magneto-hydrodynamics equations
- A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations
- On the regularity criteria for weak solutions to the magnetohydrodynamic equations
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Some mathematical questions related to the mhd equations
- Pressure regularity criteria of the three-dimensional micropolar fluid flows
- Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations
- Remark on the regularity for weak solutions to the magnetohydrodynamic equations
- Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
- Existence of global strong solution to the micropolar fluid system in a bounded domain
- Magneto-micropolar fluid motion: Global existence of strong solutions
