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

Autor: Bhandari, Kuntal, Gahn, Markus, Nečasová, Šárka, Neuss-Radu, Maria, Rodríguez-Bellido, María Ángeles
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv