The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations-Reference-Cited by-同舟云学术

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The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations

Published:2023-05-31 Issue:3 Volume:25 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Lai Baishun,Tang Ge

Funder

Innovative Research Group Project of the National Natural Science Foundation of China

Natural Science Foundation of Hunan Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Link

https://link.springer.com/content/pdf/10.1007/s00021-023-00805-8.pdf

Reference34 articles.

1. Amann, H.: Navier-Stokes equations with nonhomogeneous Dirichlet data. J. Nonlinear Math. Phys. 10, 1–11 (2003)

2. Armero, F., Simo, J.C.: Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 131, 41–90 (1996)

3. Berselli, L.C., Galdi, G.P.: On the space-time regularity of $$C(0, T;L^n)$$-very weak solutions to the Navier-Stokes equations. Nonlinear Anal. 58, 703–717 (2004)

4. Cao, C., Wu, J.: Two regularity criteria for the 3D MHD equations. J. Differ. Eq. 248, 2263–2274 (2010)

5. Chen, Q., Miao, C., Zhang, Z.: The Beale-Kato-Majda criterion to the 3D magnetohydrodynamics equations. Commun. Math. Phys. 275, 861–872 (2007)

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