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Abstract In this paper, we study the three-dimensional incompressible magnetohydrodynamic equations in a smooth bounded domains, in which the viscosity of the fluid and the magnetic diffusivity are concerned with… Click to show full abstract
Abstract In this paper, we study the three-dimensional incompressible magnetohydrodynamic equations in a smooth bounded domains, in which the viscosity of the fluid and the magnetic diffusivity are concerned with density. The existence of global strong solutions is established in vacuum cases, provided the assumption that (||∇μ(ρ0)||Lp + ||∇ν(ρ0)||Lq + ||b0||L3 + ||ρ0||L∞) (p, q > 3) is small enough, there is not any smallness condition on the velocity.
Keywords:
posedness density;
bounded domains;
global well;
well posedness;
incompressible magnetohydrodynamic
Journal Title: Acta Mathematica Scientia
Year Published: 2018
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Journal Title: Acta Mathematica Scientia
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!