Boundary Behavior of Viscous Fluids: Influence of Wall Roughness and Friction-driven Boundary Conditions

0349312 - MÚ 2011 RIV DE eng J - Článek v odborném periodiku
Bucur, D. - Feireisl, Eduard - Nečasová, Šárka
Boundary Behavior of Viscous Fluids: Influence of Wall Roughness and Friction-driven Boundary Conditions.
Archive for Rational Mechanics and Analysis. Roč. 197, č. 1 (2010), s. 117-138. ISSN 0003-9527. E-ISSN 1432-0673
Grant CEP: GA MŠMT LC06052; GA ČR GA201/08/0315; GA AV ČR IAA100190804
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: Navier-Stokes system * wall roughness * Navier's slip
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.277, rok: 2010
http://link.springer.com/article/10.1007%2Fs00205-009-0268-z

We consider a family of solutions to the evolutionary Navier-Stokes system supplemented with the complete slip boundary conditions on domains with rough boundaries. We give a complete description of the asymptotic limit by means of Gamma-convergence arguments, and identify a general class of boundary conditions.
Trvalý link: http://hdl.handle.net/11104/0189584