Asymptotic properties of solutions to the equations of incompressible fluid mechanics

Jan Březina

doi:10.1007/s00021-009-0301-x

Asymptotic properties of solutions to the equations of incompressible fluid mechanics

Jan Březina

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Well-accepted hypothesis in the fluid dynamics is that if the boundary of the physical domain is impermeable then the viscous fluid adheres completely to it. Many authors recently proposed mathematical justifications for this hypothesis using the so-called rugous boundary. In this Paper we want to discuss optimality of results obtained in Bucur et al. [3], Bucur and Feireisl [4] or Díaz et al. [5] and we show several corresponding examples. Finally, we extend these results for more general domains.

Original language	English
Pages (from-to)	536-553
Number of pages	18
Journal	Journal of Mathematical Fluid Mechanics
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s00021-009-0301-x
Publication status	Published - Dec 1 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

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10.1007/s00021-009-0301-x

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