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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 528=20, 2016.

Original scientific paper

Boundary perturbation for the Dirichlet boundary value problem

Tomislav Fratrović ; Faculty of Transport and Traffic Sciences, University of Zagreb, Vukelićeva 4, HR-10000 Zagreb, Croatia
Eduard Marušić-Paloka ; Department of Mathematics, University of Zagreb, Bijenička cesta 30, HR-10000 Zagreb, Croatia

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Abstract

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 Ω 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 Ω, but the first order corrector is also found, containing some interesting effects.

Keywords

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

Hrčak ID:

165789

URI

https://hrcak.srce.hr/165789

Publication date:

15.9.2016.

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