Global regularity of 2D MHD equations with almost Laplacian velocity dissipation-Reference-Cited by-同舟云学术

Global regularity of 2D MHD equations with almost Laplacian velocity dissipation

Published:2023-08-03 Issue:1 Volume:2023 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Li Linrui,Hong Mingli

Abstract

AbstractWe obtain the global existence and global regularity for the 2D MHD equations with almost Laplacian velocity dissipation, which require the dissipative operators weaker than any power of the fractional Laplacian. The result can be regarded as a further improvement and generalization of previous works.

Funder

the Scientific Research Plan Projects for Special Fund of Fundamental Scientific Research Business Expense for Higher School of Central Government

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13661-023-01768-5.pdf

Reference17 articles.

1. Sermange, M., Temam, R.: Some mathematical questions related to the MHD equations. Commun. Pure Appl. Math. 36, 635–664 (1983)

2. Cordoba, D., Fefferman, C.: Behavior of several two-dimensional fluid equations in singular scenarios. Proc. Natl. Acad. Sci. USA 98, 4311–4312 (2001)

3. Cao, C., Wu, J.: Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. Adv. Math. 226(2), 1803–1822 (2011)

4. Cao, C., Regmi, D., Wu, J.: The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. J. Differ. Equ. 254, 2661–2681 (2013)

5. Cao, C., Wu, J., Yuan, B.: The 2D incompressible magnetohydrodynamics equations with only magnteic diffusion. SIAM J. Math. Anal. 46(1), 588–602 (2014)

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1. Global regularity of 2D MHD equations with almost Laplacian velocity dissipation;Boundary Value Problems;2023-08-03