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Global regularity for the 2D magneto‐micropolar system with partial and fractional dissipation

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0 Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6058

Abstract: This paper focuses on the 2D incompressible magneto‐micropolar sysytem with the kinematic dissipation given by the fractional operator (−Δ)α, the magnetic diffusion by the fractional operator (−Δ)β and the spin dissipation by the fractional operator… read more here.

Keywords: dissipation; magneto micropolar; system; global regularity ... See more keywords

Note on global regularity of 2D regularized MHD equations with zero magnetic diffusion

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0 Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.08.057

Abstract: Abstract In this paper, we establish the global regularity of the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations with the Laplacian dissipation in the velocity equation and zero magnetic diffusion. read more here.

Keywords: note global; zero magnetic; magnetic diffusion; global regularity ... See more keywords

Global regularity of the 2D magnetohydrodynamic equations with fractional anisotropic dissipation

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0 Published in 2019 at "Nonlinear Analysis: Real World Applications"

DOI: 10.1016/j.nonrwa.2018.07.014

Abstract: Abstract This paper is dedicated to establishing the global regularity for the two dimensional magnetohydrodynamic equations with fractional anisotropic dissipation when the fractional powers are restricted to some certain ranges. In addition, the global regularity… read more here.

Keywords: equations fractional; magnetohydrodynamic equations; dissipation; global regularity ... See more keywords

Global regularity of 2D generalized MHD equations with magnetic damping

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0 Published in 2020 at "Nonlinear Analysis: Real World Applications"

DOI: 10.1016/j.nonrwa.2019.103066

Abstract: Abstract In this paper, we focus on the global regularity of 2D generalized magnetohydrodynamics equations with magnetic damping | b | β − 1 b . Basing on the Maximal regularity of parabolic equation, we… read more here.

Keywords: global regularity; regularity; equations magnetic; generalized mhd ... See more keywords

Global regularity to the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion in a bounded domain

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1 Published in 2017 at "Acta Mathematica Scientia"

DOI: 10.1016/s0252-9602(17)30010-3

Abstract: Abstract This article considers the global regularity to the initial-boundary value problem for the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion. To overcome the difficulty caused by the vanishing viscosities, we first… read more here.

Keywords: dissipation magnetic; incompressible mhd; global regularity; mixed partial ... See more keywords