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Low Mach number limit of nonisentropic inviscid Hookean elastodynamics
  • Qiangchang Ju,
  • Jiawei Wang
Qiangchang Ju
Institute of Applied Physics and Computational Mathematics

Corresponding Author:ju_qiangchang@iapcm.ac.cn

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Jiawei Wang
Institute of Applied Physics and Computational Mathematics
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Abstract

The low Mach number limit of the nonisentropic compressible Hookean elastodynamic equations is rigorously proved with respect to well-prepared initial data. We introduce certain suitable seminorms to obtain the uniform estimate of solutions, for which the critical point is to cancel the higher order derivate terms caused by the coupling of velocity and deformation gradient.
09 Mar 2022Submitted to Mathematical Methods in the Applied Sciences
10 Mar 2022Submission Checks Completed
10 Mar 2022Assigned to Editor
28 Jul 2022Reviewer(s) Assigned
08 Oct 2022Review(s) Completed, Editorial Evaluation Pending
15 Nov 2022Editorial Decision: Revise Minor
22 Nov 20221st Revision Received
22 Nov 2022Submission Checks Completed
22 Nov 2022Assigned to Editor
22 Nov 2022Review(s) Completed, Editorial Evaluation Pending
29 Nov 2022Reviewer(s) Assigned
11 Jan 2023Editorial Decision: Accept