engleski

Reaction of the fluid flow on time-dependent boundary perturbation

The aim of this paper is to investigate the effects of time-dependent boundary perturbation on the flow of a viscous fluid via asymptotic analysis. We start from a simple rectangular domain and then perturb the upper part of its boundary by the product of a small parameter ε and some smooth function h(x, t). The complete asymptotic expansion (in powers of ε) of the solution of the evolutionary Stokes system has been constructed. The convergence of the expansion has been proved providing the rigorous justification of the formally derived asymptotic model.

time-dependent boundary perturbation ; Stokes system ; asymptotic expansion ; error estimate

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