We consider the Stokes eigenvalue problem in a bounded domain of R 3 with Dirichlet 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 eigenvalues, eigenfunctions and eigenpressures for the Stokes operator caused by small perturbations of the boundary. Our derivation is rigorous and proved by layer potential techniques.
We present a new method for the explicit evaluation of single and double layers involved in a boundary element method to solve Maxwell's equations in the harmonic regime. This is an analytical method.
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