薄域非线性摩擦等温弹性算子的行为

IF 0.4 Q4 MATHEMATICS Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI:10.5269/bspm.51676

Yasmina Kadri, H. Benseridi, M. Dilmi, Aissa Benseghir

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引用次数: 0

摘要

本文研究了具有库仑型非线性摩擦的三维薄域Ω ε边值问题的渐近性质。我们将建立问题的变分公式，并证明弱解的存在唯一性。在此基础上，研究了定义域一维趋近于零时的渐近行为。在这种情况下，也证明了极限问题位移的唯一性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Behavior of the isothermal Elasticity operator with non-linear friction in a thin domain

This paper deals with the asymptotic behavior of a boundary value problem in a three dimensional thin domain Ω ε with non-linear friction of Coulomb type. We will establish a variational formulation for the problem and prove the existence and uniqueness of the weak solution. We then study the asymptotic behavior when one dimension of the domain tends to zero. In which case, the uniqueness result of the displacement for the limit problem is also proved.

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