TY - JOUR
T1 - Asymptotic properties of solutions to the equations of incompressible fluid mechanics
AU - Březina, Jan
N1 - Funding Information:
This work was supported by Grant 201/08/0315 of GA CˇR in the framework of the general research programme of the Academy of Sciences of the Czech Republic, Institutional Research Plan AV0Z10190503.
PY - 2010/12
Y1 - 2010/12
N2 - 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.
AB - 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.
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U2 - 10.1007/s00021-009-0301-x
DO - 10.1007/s00021-009-0301-x
M3 - Article
AN - SCOPUS:79551689765
VL - 12
SP - 536
EP - 553
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
SN - 1422-6928
IS - 4
ER -