Czasopismo
---
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Global existence of axially symmetric solutions to the Navier-Stokes equations in a cylinder with the axis of symmetry removed is proved. The solutions satisfy the ideal slip conditions on the boundary. We underline that there is no restriction on the angular component of velocity. We obtain two kinds of existence results. First, under assumptions necessary for the existence of weak solutions, we prove that the velocity belongs to $W_{4/3}^{2,1}(Ω × (0,T))$, so it satisfies the Serrin condition. Next, increasing regularity of the external force and initial data we prove existence of solutions (by the Leray-Schauder fixed point theorem) such that $v ∈ W_{r}^{2,1}(Ω × (0,T))$ with r > 4/3, and we prove their uniqueness.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
---
Rocznik
Tom
Numer
Strony
243-263
Opis fizyczny
Daty
wydano
2004
Twórcy
autor
- Institute of Mathematics and Cryptology, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland
- Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-2-7