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<p>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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月23日

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  • Kuntal Bhandari,
  • Markus Gahn,
  • Šárka Nečasová,
  • Maria Neuss-Radu,
  • María Ángeles Rodríguez-Bellido

摘要

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.