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

  • Maja Starčević

    University of Zagreb, Croatia
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Abstract

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.

Cite this article

Maja Starčević, Higher Order Approximations to the Navier–Stokes Flow in a Rough Boundary Domain. Z. Anal. Anwend. 38 (2019), no. 1, pp. 17–39

DOI 10.4171/ZAA/1626