Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion

Yun Sung Chung; Kyungkeun Kang

doi:10.1063/1.4947107

Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion

Yun Sung Chung, Kyungkeun Kang

Department of Mathematics

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

We consider a coupled system consisting of the Navier-Stokes equations and a porous medium type of Keller-Segel system that model the motion of swimming bacteria living in fluid and consuming oxygen. We establish the global-in-time existence of weak solutions for the Cauchy problem of the system in dimension three. In addition, if the Stokes system, instead Navier-Stokes system, is considered for the fluid equation, we prove that bounded weak solutions exist globally in time.

Original language	English
Article number	041503
Journal	Journal of Mathematical Physics
Volume	57
Issue number	4
DOIs	https://doi.org/10.1063/1.4947107
Publication status	Published - 2016 Apr 1

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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Chung, Y. S., & Kang, K. (2016). Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion. Journal of Mathematical Physics, 57(4), [041503]. https://doi.org/10.1063/1.4947107

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