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

Myeongju Chae, Kyungkeun Kang, Jihoon Lee

Research output: Contribution to journalArticle

86 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1205-1235
Number of pages31
JournalCommunications in Partial Differential Equations
Volume39
Issue number7
DOIs
Publication statusPublished - 2014 Jul

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Keller-Segel Model
Blow-up Criterion
Regular Solution
Local Existence
Incompressible Navier-Stokes Equations
Global Existence
Navier Stokes equations
Three-dimension
Oxygen
Two Dimensions
Decay
Upper bound
Fluid
Fluids

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations. / Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon.

In: Communications in Partial Differential Equations, Vol. 39, No. 7, 07.2014, p. 1205-1235.

Research output: Contribution to journalArticle

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