engleski

Boundary perturbation for the Dirichlet boundary value problem

We study the effects of small boundary perturbations on the solutions of the boundary value problems posed in such domains. We start from the domain Omega and then perturb its boundary by the product of a small parameter and some smooth function. The zeroth order approximation is simply the same boundary value problem posed in domain Omega, but the first order corrector is also found, containing some interesting effects.

boundary perturbation ; asymptotic expansion ; fluid flow ; Poisson equation ; Poiseuille flow

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