Singular limit of Lam\’{e} equations

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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 $\var\rightarrow\infty$.

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00