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Local mild solutions to three-dimensional magnetohydrodynamic system in Morrey spaces
  • Zirong Zeng
Zirong Zeng
Shanghai Jiao Tong University
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Abstract

In this article, the Cauchy problem of three-dimensional (3-D) incompressible magnetohydrodynamic system with infinite energy initial data is investigated. Via some elaborate analysis of the time evolution of both the vorticity ω=: ▽×u and the current density j=: ▽×b , the local-in-time well-posedness of mild solutions with arbitrarily large initial data in Morrey spaces is established.

Peer review status:Published

07 Oct 2020Submitted to Mathematical Methods in the Applied Sciences
08 Oct 2020Submission Checks Completed
08 Oct 2020Assigned to Editor
16 Oct 2020Reviewer(s) Assigned
25 Nov 2020Review(s) Completed, Editorial Evaluation Pending
25 Nov 2020Editorial Decision: Revise Minor
01 Dec 20201st Revision Received
01 Dec 2020Submission Checks Completed
01 Dec 2020Assigned to Editor
01 Dec 2020Editorial Decision: Accept
14 Dec 2020Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7112