Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries

2024/06/10 by Bhandari, Kuntal, Gahn, Markus, Nečasová, Šárka +2
#35B40 #76N06 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.06275

Abstract

In this paper, we study the asymptotic behavior of solutions to the compressible Navier-Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast oscillations with amplitude and characteristic wave length proportional to a small parameter. Imposing the full-slip boundary conditions we show that in the asymptotic limit the fluid sticks completely to the boundary, provided the oscillations are non-degenerate, meaning not oriented in a single direction.

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