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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 $\var\rightarrow\infty$.

In this paper, we study the asymptotic behavior of the solution to the Lamé equations with a parameter 𝜀. We prove that the solution will converge to the solution of a Maxwell-type system as 𝜀 → 0. Meanwhile, we will show that the solution converges to the solution of a Stokes-type system as 𝜀 → ∞.

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