Abstract
In this paper, we investigate the Cauchy problem for the two-dimensional incompressible chemotaxis-Navier-Stokes equations. By taking advantage of a coupling structure of the equations and using a scale decomposition technique, we explore a new estimate of solutions. This estimate together with a microlocal analysis entails the global existence and uniqueness of weak solutions to the chemotaxis-Navier-Stokes system for a large class of initial data.
| Original language | English |
|---|---|
| Pages (from-to) | 3078-3105 |
| Number of pages | 28 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 46 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2014 |
| Externally published | Yes |
Keywords
- Analysis
- Chemotaxis
- Global well-posedness
- Microlocal
- Navier-Stokes
- Zygmund spaces
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