Deterministic Homogenization of Unsteady Navier-Stokes type Equations

TL;DR

This paper investigates the deterministic homogenization of unsteady Navier-Stokes equations in both open domains and periodic porous media, providing insights into fluid flow in complex environments.

Contribution

It introduces a homogenization framework for unsteady Navier-Stokes equations in periodic porous media, extending existing models to unsteady flows in complex geometries.

Findings

Homogenization results for unsteady Navier-Stokes equations in porous media.

Effective equations derived for periodic porous structures.

Analysis of flow behavior in complex domains.

Abstract

In this paper we study the deterministic homogenization problems for unsteady Navier-Stokes type equations, on one hand in an open set {\Omega} of R^{N}, on the other hand in porous media {\Omega}^{{\epsilon}}. In the second case, the equations are classical unsteady Navier-Stokes one, and the porous media are periodic