#7504. Global Regularity for the 2D MHD and Tropical Climate Model with Horizontal Dissipation

May 2027publication date
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Journal’s subject area:
Applied Mathematics;
Engineering (all);
Modeling and Simulation;
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Abstract:
This paper establishes the global regularity of classical solution to the 2D MHD system with only horizontal dissipation and horizontal magnetic diffusion in a strip domain when the initial data are suitable small. To prove this, we combine the Littlewood–Paley decomposition with anisotropic inequalities to establish a crucial commutator estimate.
Keywords:
Asymptotic behavior; Global regularity; Horizontal dissipation; MHD equations; Tropical climate model

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