On a generalized Stokes problem

• Autorzy: Václav Mácha
• Języki publikacji: EN

Abstrakty

EN

We deal with a generalization of the Stokes system. Instead of the Laplace operator, we consider a general elliptic operator and a pressure gradient with small perturbations. We investigate the existence and uniqueness of a solution as well its regularity properties. Two types of regularity are provided. Aside from the classical Hilbert regularity, we also prove the Hölder regularity for coefficients in VMO space.

Słowa kluczowe

EN

Stokes problem; Higher differentiability; Hölder regularity

Kategorie tematyczne

• 35A01: Existence problems: global existence, local existence, non-existence
• 35A02: Uniqueness problems: global uniqueness, local uniqueness, non-uniqueness
• 35Q35: PDEs in connection with fluid mechanics
• 35B65: Smoothness and regularity of solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 4
• Strony: 874-887

Daty

wydano

2011-08-01

online

2011-05-26

Twórcy

autor

Václav Mácha

• Charles University Prague

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0047-6