Inviscid limit for Navier-Stokes equations in domains with permeable boundaries

2024/09/25 by Nikolai V. Chemetov, Chemetov, N. V., Fernanda Cipriano +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2409.17301

Abstract

This work is concerned with 2D-Navier Stokes equations in a multiply-connected bounded domain with permeable walls. The permeability is described by a Navier type condition. Our aim is to show that the inviscid limit is a solution of the Euler equations, satisfying the Navier type condition on the inflow zone of the walls.

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