Asymptotic behaviors for eigenvalues and eigenfunctions associated to Stokes operator in the presence of small boundary perturbations

2015/09/07 by Daveau, Christian, Khelifi, Abdessatar
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1509.02222

Abstract

We consider the Stokes eigenvalue problem in a bounded domain of R3 with Dirich- let boundary conditions. The aim of this paper is to advance the development of high-order terms in the asymptotic expansions of the boundary perturbations of eigen- values, eigenfunctions and eigenpressures for the Stokes operator caused by small per- turbations of the boundary. Our derivation is rigorous and proved by layer potential techniques.

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