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arXiv · 2406.06275

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

Kuntal Bhandari·Markus Gahn·Šárka Nečasová·Maria Neuss-Radu·María Ángeles Rodríguez-Bellido
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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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Kuntal Bhandari, Markus Gahn, Šárka Nečasová, Maria Neuss-Radu, María Ángeles Rodríguez-Bellido. 2024-06-10. Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries. https://arxiv.org/abs/2406.06275

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