Asymptotic of eigenvalues and eigenfunctions of Stokes operator due to a small perturbation of the boundary
Christian Daveau, M. Ghozzi, Abdessatar Khelifi · arXiv (Cornell University) · 2015
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.