二维各向异性磁bassariard方程的正则性判据

IF 0.8 4区数学 数学研究 Pub Date : 2019-06-01 DOI:10.4208/JMS.V52N1.19.06

Dipendra Sharma

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引用次数: 3

摘要

本文研究了具有部分耗散和磁扩散的二维不可压缩磁Bénard方程的全局正则性问题。对于方程中涉及的所有参数值，平滑的初始数据是否产生在时间上全局规则的解仍然是开放的。我们给出了解的条件全局正则性。此外，我们还证明了微正则化系统的全局正则性。AMS受试者分类：35Q35、35B35、35B65、76D03

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Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations

In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion. It remains open whether the smooth initial data produce solutions that are globally regular in time for all values of the parameters involved in the equations. We present conditional global regularity of the solutions. Moreover, we prove the global regularity for the slightly regularized system. AMS subject classifications: 35Q35, 35B35, 35B65, 76D03

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数学研究 MATHEMATICS-

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1109

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