112 citations · 112 across the 2 of their papers we have counts for
2 papers
math.AP2023
Global existence and decay rates to self-consistent chemotaxis-fluid system
Jose A. Carrillo, Yingping Peng, Zhaoyin Xiang
In this paper, we investigate a chemotaxis-fluid system involving both the effect of potential force on cells and the effect of chemotactic force on fluid: \begin{equation*} \left\…
math.AP2018★ 112 cited
Long-time behaviour and phase transitions for the McKean--Vlasov equation on the torus
J. A. Carrillo, R. S. Gvalani, G. A. Pavliotis +1
We study the McKean-Vlasov equation \[ \partial_t \varrho= β^{-1} Δ\varrho + κ\nabla \cdot (\varrho \nabla (W \star \varrho)) \, , \] with periodic boundary conditions on the torus…