Abstract
In this paper, we focus on the generalized 3D magnetohydrodynamic equations. Two logarithmically blow-up criteria of smooth solutions are established. MSC:76D03, 76W05.
Highlights
We study blow up criteria of smooth solutions to the incompressible generalized magnetohydrodynamics (GMHD) equations in R ⎧⎪⎪⎨∂tu + u · ∇u – B · ∇B + (– )α u + ∇(p |B| ) = ⎪⎪⎩∂∇t B · +u u=
In this paper, we focus on the generalized 3D magnetohydrodynamic equations
1 Introduction We study blow up criteria of smooth solutions to the incompressible generalized magnetohydrodynamics (GMHD) equations in R
Summary
Two logarithmically blow-up criteria of smooth solutions are established. Introduction We study blow up criteria of smooth solutions to the incompressible generalized magnetohydrodynamics (GMHD) equations in R D Navier-Stokes equations, whether there exists a global smooth solution to D impressible GMHD equations is still an open problem. Fundamental mathematical issues such as the global regularity of their solutions have generated extensive research and many interesting results have been established (see [ – ]).
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