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Global well-posedness for the three-dimensional incompressible viscous non-resistive MHD equations in an infinite slab
  • Youyi Zhao
Youyi Zhao
Institute of Applied Physics and Computational Mathematics
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Abstract

In this paper, we investigate the global well-posedness of the system of incompressible viscous non-resistive MHD fluids in a three-dimensional horizontally infinite slab with finite height. We reformulate our analysis to Lagrangian coordinates, and then develop a new mathematical approach to establish global well-posedness of the MHD system, which requires no nonlinear compatibility conditions on the initial data.
03 Nov 2021Submitted to Mathematical Methods in the Applied Sciences
06 Nov 2021Submission Checks Completed
06 Nov 2021Assigned to Editor
17 Nov 2021Reviewer(s) Assigned
21 Jan 2022Review(s) Completed, Editorial Evaluation Pending
21 Jan 2022Editorial Decision: Revise Minor
10 Feb 20221st Revision Received
12 Feb 2022Submission Checks Completed
12 Feb 2022Assigned to Editor
12 Feb 2022Reviewer(s) Assigned
14 Feb 2022Review(s) Completed, Editorial Evaluation Pending
15 Feb 2022Editorial Decision: Accept