Abstract
We study a two-dimensional chemotaxis-fluid system in a bounded convex domain with smooth boundary under no-flux boundary conditions for bacterial density and oxygen concentration and no-slip boundary condition for fluid velocity. A global existence result of classical solutions is established for large initial data with possibly singular chemotactic sensitivity and super-linear consumption rate.
| Original language | English |
|---|---|
| Pages (from-to) | 2254-2264 |
| Number of pages | 11 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 44 |
| Issue number | 2 |
| DOIs | |
| State | Published - 30 Jan 2021 |
Keywords
- chemotaxis-fluid system
- classical solution
- global existence