38 citations · 47 across the 4 of their papers we have counts for
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Absence of critical mass phenomena in one-dimensional critical quasilinear Keller-Segel systems
Xinru Cao, Mario Fuest
We consider the Neumann initial boundary value problem associated to the chemotaxis system \begin{align}\label{prob:abstract}\tag{} \begin{cases} u_t = \big((u+1)^{m-1} u_x…
Finite-time blow-up in fully parabolic quasilinear Keller-Segel systems with supercritical exponents
Xinru Cao, Mario Fuest
We examine the possibility of finite-time blow-up of solutions to the fully parabolic quasilinear Keller--Segel model \begin{align}\tag{}\label{prob:star} \begin{cases} u_t…
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 &…
Global existence and asymptotic behavior of classical solutions for a 3D two-species chemotaxis-Stokes system with competitive kinetics
Xinru Cao, Shunsuke Kurima, Masaaki Mizukami
This paper considers the two-species chemotaxis-Stokes system with competitive kinetics under homogeneous Neumann boundary conditions in a three-dimensional bounded domain with smo…