Global regularity of the incompressible magnetohydrodynamic equations on 3D thin domain with large data

In this paper, we consider the incompressible magnetohydrodynamic equations with Dirichlet boundary on a 3D thin domain Ω = ( 0, l 1 ) × ( 0, l 2 ) × ( 0, ε ), where l 1, l 2 > 0, ε ∈ ( 0, 1 ) . We prove that if | | A 1 2 u 0 | | L 2 + | | ∇ b 0 | | L 2 ≤ 1 C ε 1 2, then there exists a global smooth solution with the initial data u 0 and b 0 . Supplementary Material File (wileynjdv5_ams_2.pdf) - Download - 74.58 KB Information & Authors Information Version history Peer review timeline Published Journal of Mathematical Analysis and Applications Version of Record1 Apr 2026Published Copyright This work is licensed under a Non Exclusive No Reuse License.

Authors Metrics & Citations Metrics Article Usage 280views 202downloads Citations Download citation Fan Wang, Liu Zhang. Global regularity of the incompressible magnetohydrodynamic equations on 3D thin domain with large data. Authorea. 24 January 2025. DOI: https://doi.org/10.22541/au.173770593.39052942/v1 DOI: https://doi.org/10.22541/au.173770593.39052942/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.