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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… Click to show full 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 establish the elliptic system for U x and b y , which are estimated by ∇ × u x and ∇ × b y , respectively. Then, we establish the global estimates for ∇ × u and ∇ × b .
Keywords:
dissipation magnetic;
incompressible mhd;
global regularity;
mixed partial;
mhd mixed;
partial dissipation
Journal Title: Acta Mathematica Scientia
Year Published: 2017
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Journal Title: Acta Mathematica Scientia
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!