Asymptotic properties of solutions to the equations of incompressible fluid mechanics

0353467 - MÚ 2011 RIV CH eng J - Journal Article
Březina, Jan
Asymptotic properties of solutions to the equations of incompressible fluid mechanics.
Journal of Mathematical Fluid Mechanics. Roč. 12, č. 4 (2010), s. 536-553. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR GA201/08/0315
Institutional research plan: CEZ:AV0Z10190503
Keywords : Navier-Stokes equations * boundary conditions * rough boundary
Subject RIV: BA - General Mathematics
Impact factor: 0.786, year: 2010
http://link.springer.com/article/10.1007%2Fs00021-009-0301-x

Well-accepted hypothesis in the fluid dynamics is that if the boundary of the physical domain is impermeable then the vsiscous 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., Bucur and Feireisl or Díaz et al. and we show several corresponding examples. Finally, we extend these results for more general domains.
Permanent Link: http://hdl.handle.net/11104/0192712