Yanjiang Li,
Zhongqing Yu,
Yumei Huang
(2024)
The self-consistent chemotaxis-fluid system
is considered under no-flux boundary conditions for and the Dirichlet boundary condition for on a bounded smooth domain
, . The existence of global bounded classical solutions is proved under a smallness assumption on . Both the effect of gravity (potential force) on cells and the effect of the chemotactic force on fluid are considered here, and thus the coupling is stronger than the most studied chemotaxis-fluid...