15 citations · 15 across the 2 of their papers we have counts for
2 papers
math.AP2024
Superlinear transmission in an indirect signal production chemotaxis system
Xinru Cao
In this paper, the indirect signal production system with nonlinear transmission is considered \[ \left\{ \begin{array}{lll} & u_t = Δu-\nabla\cdot(u \nabla v), \\ \displaystyle &…
math.AP2014★ 15 cited
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
Xinru Cao
In this paper, the fully parabolic Keller-Segel system \begin{equation} \left\{ \begin{array}{llc} u_t=Δu-\nabla\cdot(u\nabla v), &(x,t)\in Ω\times (0,T),\\ v_t=Δv-v+u, &(x,t)\inΩ\…