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On vanishing limits of the shear viscosity and Hall coefficients for the planar compressible Hall-MHD system
  • Xia Ye,
  • Zejia Wang
Xia Ye
Jiangxi Normal University

Corresponding Author:[email protected]

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Zejia Wang
Jiangxi Normal University
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Abstract

This paper deals with an initial-boundary value problem of the planar compressible Hall-magnetohydrodynamic (for short, Hall-MHD) equations. For the fixed shear viscosity and Hall coefficients, it is shown that the strong solutions of Hall-MHD equations and corresponding MHD equations are global. As both the shear viscosity and the Hall coefficients tend to zero, the convergence rate for the solutions from Hall-MHD equations to MHD equations is given. The thickness of boundary layer is discussed by spatially weighted estimation and the characteristic of boundary layer is described by constructing a boundary layer function.
24 Jun 2021Submitted to Mathematical Methods in the Applied Sciences
25 Jun 2021Submission Checks Completed
25 Jun 2021Assigned to Editor
03 Jul 2021Reviewer(s) Assigned
10 Oct 2021Review(s) Completed, Editorial Evaluation Pending
11 Oct 2021Editorial Decision: Revise Major
21 Oct 20211st Revision Received
21 Oct 2021Submission Checks Completed
21 Oct 2021Assigned to Editor
21 Oct 2021Reviewer(s) Assigned
30 Oct 2021Review(s) Completed, Editorial Evaluation Pending
31 Oct 2021Editorial Decision: Revise Minor
04 Nov 20212nd Revision Received
04 Nov 2021Submission Checks Completed
04 Nov 2021Assigned to Editor
04 Nov 2021Reviewer(s) Assigned
04 Nov 2021Review(s) Completed, Editorial Evaluation Pending
05 Nov 2021Editorial Decision: Accept
15 May 2022Published in Mathematical Methods in the Applied Sciences volume 45 issue 7 on pages 3698-3717. 10.1002/mma.8012