Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation
Author:
Funder
National Science Foundation
AT & T Foundation at Oklahoma State University
Natural Science Foundation of Hebei Province
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00028-023-00940-9.pdf
Reference58 articles.
1. R. Agapito and M. Schonbek, Non-uniform deay for MHD equations with and without magnetic diffusion. Commun. Partial Differential equations 32 (2007), 1791-1812.
2. H. Bahouri, J.-Y. Chemin and R. Danchin, Fourier Analysis and Nonlinear Partial Differential Equations, Grundlehren der mathematischen Wissenschaften, Vol. 343, Springer-Verlag Berlin, 2011.
3. N. Broadman, H. Lin and J. Wu, Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow, SIAM J. Math. Anal. 52 (2020), 5001-5035.
4. C. Cao, D. Regmi and J. Wu, The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion, J. Differential Equations 254 (2013), 2661–2681.
5. C. Cao and J. Wu, Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion, Adv. Math. 226 (2011), 1803-1822.
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