Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations

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...

Full description

Saved in:
Bibliographic Details
Published inCommunications in partial differential equations Vol. 39; no. 7; pp. 1205 - 1235
Main Authors Chae, Myeongju, Kang, Kyungkeun, Lee, Jihoon
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 03.07.2014
Taylor & Francis Ltd
Subjects
76Bxx
76Dxx
Algorithms
Blow-up criteria
Computational fluid dynamics
Decay
Decay estimates
Fluid flow
Incompressible flow
Keller-Segel
Mathematical analysis
Mathematical models
Navier-Stokes
Navier-Stokes equations
Partial differential equations
Temporal logic
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2013.852224