Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- Authors
- Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
- Issue Date
- Jul-2014
- Publisher
- TAYLOR & FRANCIS INC
- Keywords
- Blow-up criteria; Decay estimates; Keller-Segel; Navier-Stokes
- Citation
- COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, v.39, no.7, pp 1205 - 1235
- Pages
- 31
- Journal Title
- COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
- Volume
- 39
- Number
- 7
- Start Page
- 1205
- End Page
- 1235
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/13947
- DOI
- 10.1080/03605302.2013.852224
- ISSN
- 0360-5302
1532-4133
- Abstract
- We consider a Keller-Segel model coupled to the incompressible Navier-Stokes equations in spatial dimensions two and three. We establish the local existence of regular solutions and present some blow-up criteria for both cases that equations of oxygen concentration is of parabolic or hyperbolic type. We also prove that solutions exist globally in time and upper bounds of temporal decays are obtained under the some smallness conditions of initial data.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/13947)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.