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

02 Jul 2021Submitted to Mathematical Methods in the Applied Sciences
05 Jul 2021Assigned to Editor
05 Jul 2021Submission Checks Completed
10 Jul 2021Reviewer(s) Assigned