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Expansion of a compressible non-barotropic fluid in vacuum
  • Rongfeng Yu
Rongfeng Yu
Sun Yat-Sen University
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Abstract

In this paper, we consider a region occupied by viscous or inviscid compressible magnetohydrodynamic fluids, and surrounded by vacuum. It is shown that the fluid region will expand at least linearly in time as soon as there are no singularities. The expanding rate is proportional to initial total energy and is inversely proportional to initial mass. The result indicates an interesting fact that the expansion of the viscous monatomic fluids seems similar to the inviscid fluids.

Peer review status:Published

16 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
17 Sep 2020Assigned to Editor
17 Sep 2020Submission Checks Completed
20 Sep 2020Reviewer(s) Assigned
30 Sep 2020Review(s) Completed, Editorial Evaluation Pending
04 Oct 2020Editorial Decision: Accept
23 Oct 2020Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.6959