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Singular limit of Lam\’{e} equations
  • Zengyun QIN
Zengyun QIN
Shandong University of Finance and Economics

Corresponding Author:[email protected]

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Abstract

In this paper, we study the asymptotic behavior of the solution to the Lam\’{e} equations with a parameter $\var$. We prove that the solution will converge to the solution of a Maxwell type equations as $\var\rightarrow0$; Meanwhile we will show that the solution converges to the solution of a Stokes type equations as $\var\rightarrow\infty$.

Peer review status:ACCEPTED

02 Jul 2021Submitted to Mathematical Methods in the Applied Sciences
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05 Jul 2021Submission Checks Completed
05 Jul 2021Assigned to Editor
10 Jul 2021Reviewer(s) Assigned
20 Nov 2021Review(s) Completed, Editorial Evaluation Pending
11 Nov 2022Editorial Decision: Revise Minor
21 Nov 20221st Revision Received
22 Nov 2022Submission Checks Completed
22 Nov 2022Assigned to Editor
22 Nov 2022Review(s) Completed, Editorial Evaluation Pending
14 Dec 2022Reviewer(s) Assigned
11 Jan 2023Editorial Decision: Accept