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Zeitschrift für Analysis und ihre Anwendungen


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Volume 38, Issue 1, 2019, pp. 17–39
DOI: 10.4171/ZAA/1626

Published online: 2019-01-07

Higher Order Approximations to the Navier–Stokes Flow in a Rough Boundary Domain

Maja Starčević[1]

(1) University of Zagreb, Croatia

We consider an incompressible flow governed by the nonlinear Navier–Stokes equations with periodic boundary conditions in a domain with periodic roughness. Approximations to the flow up to the second order are deduced starting from a modification of the analogous flow in a simpler truncated domain, i.e. its extension to a series with respect to the amplitude of the rough part of the flow domain. The rigorous estimates for the approximations are given.

Keywords: Navier–Stokes equations, rough boundary domain, higher order approximations

Starčević Maja: Higher Order Approximations to the Navier–Stokes Flow in a Rough Boundary Domain. Z. Anal. Anwend. 38 (2019), 17-39. doi: 10.4171/ZAA/1626