部分耗散的三维不可压Hall-MHD方程组的整体正则性

Abstract

Abstract:

In this paper, we study the incompressible 3D Hall-magnetohydrodynamic equations with partial dissipation, by the special property of the energy estimate in term of Sobolev norm, we obtain the local existence of classical solutions for large initial data. We also prove the global existence of the classical solutions, the smallness conditions of which are given by the suitable Sobolev norms.

Key words: Global regularity, Hall-magnetohydrodynamics, Partial dissipation, Classical solutions, Local existence

CLC Number:

O175.29

Baoying Du,Jinxing Liu. Global Regularity for the Incompressible 3D Hall-Magnetohydrodynamics with Partial Dissipation[J].Acta mathematica scientia,Series A, 2022, 42(6): 1754-1767.

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Global Regularity for the Incompressible 3D Hall-Magnetohydrodynamics with Partial Dissipation

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