Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong convergence of the solutions of the linear elasticity and
  uniformity of asymptotic expansions in the presence of small inclusions   We consider the Lam\'e system of linear elasticity when the inclusion has the
extreme elastic constants. We show that the solutions to the Lam\'e system
converge in appropriate $H^1$-norms when the shear modulus tends to infinity
(the other modulus, the compressional modulus is fixed), and when the bulk
modulus and the shear modulus tend to zero. Using this result, we show that the
asymptotic expansion of the displacement vector in the presence of small
inclusion is uniform with respect to Lam\'e parameters.

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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga