Solvability of the stationary Stokes system in spaces $H²_{-μ}$, μ ∈ (0,1)

• Autorzy: Ewa Zadrzyńska , Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

We consider the stationary Stokes system with slip boundary conditions in a bounded domain. Assuming that data functions belong to weighted Sobolev spaces with weights equal to some power of the distance to some distinguished axis, we prove the existence of solutions to the problem in appropriate weighted Sobolev spaces.

Kategorie tematyczne

• 35J99: None of the above, but in this section
• 76D07: Stokes and related (Oseen, etc.) flows
• 35Q35: PDEs in connection with fluid mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2010
• Tom: 37
• Numer: 1
• Strony: 13-38

Daty

wydano

2010

Twórcy

autor

Ewa Zadrzyńska

• Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/am37-1-2