Axisymmetric flows in the exterior of a cylinder. Issue 4 (August 2020)
- Record Type:
- Journal Article
- Title:
- Axisymmetric flows in the exterior of a cylinder. Issue 4 (August 2020)
- Main Title:
- Axisymmetric flows in the exterior of a cylinder
- Authors:
- Abe, K.
Seregin, G. - Abstract:
- Abstract: We study an initial-boundary value problem of the three-dimensional Navier-Stokes equations in the exterior of a cylinder $\Pi =\{x=(x_{h}, x_3)\ \vert \vert x_{h} \vert \gt 1\}$, subject to the slip boundary condition. We construct unique global solutions for axisymmetric initial data $u_0\in L^{3}\cap L^{2}(\Pi )$ satisfying the decay condition of the swirl component $ru^{\theta }_{0}\in L^{\infty }(\Pi )$ .
- Is Part Of:
- Proceedings. Volume 150:Issue 4(2020)
- Journal:
- Proceedings
- Issue:
- Volume 150:Issue 4(2020)
- Issue Display:
- Volume 150, Issue 4 (2020)
- Year:
- 2020
- Volume:
- 150
- Issue:
- 4
- Issue Sort Value:
- 2020-0150-0004-0000
- Page Start:
- 1671
- Page End:
- 1698
- Publication Date:
- 2020-08
- Subjects:
- Navier-Stokes equations, -- axisymmetric solutions, -- exterior of a cylinder
35B07, -- 35K20, -- 35K90
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PRM ↗
- DOI:
- 10.1017/prm.2018.121 ↗
- Languages:
- English
- ISSNs:
- 0308-2105
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 15281.xml