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arXiv · 1807.04174

Global regularity of the two-dimensional regularized MHD equations

Zhuan Ye
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Abstract

In this paper, we consider the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations. The main objective of this paper is to establish the global regularity of classical solutions of the magnetohydrodynamics equations with the minimal dissipation. Consequently, our results significantly improve the previous works.

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Zhuan Ye. 2018-07-11. Global regularity of the two-dimensional regularized MHD equations. https://doi.org/10.4310/dpde.2019.v16.n2.a4

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