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

Yun Sung Chung, Kyungkeun Kang

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Article number041503
JournalJournal of Mathematical Physics
Issue number4
Publication statusPublished - 2016 Apr 1

Bibliographical note

Funding Information:
Yun-Sung Chung's work is supported by No. NRF-2012R1A1A2001373 and Kyungkeun Kang's work is supported by No. NRF-2014R1A2A1A11051161 and NRF20151009350.

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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