Xinru Cao

collaborators

4 papers

math.RA2026

The Pozhidaev and Cantarini--Kac Constructions of Simple $n$ -Lie Algebras: Distinctions and Realizations

Xinru Cao, Bakhrom A. Omirov, Yuhui Tan

Let $n \geq 3$ , let $H \subseteq C^{n}$ be any additive subgroup spanning $C^{n}$ , and let $0 \neq = t \in H$ . We study Pozhidaev's central simple $n$ -Lie algebra $P(H,t)=\wi…

math.AP2026

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…

math.AP2024

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…

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 &…

The Pozhidaev and Cantarini--Kac Constructions of Simple n-Lie Algebras: Distinctions and Realizations

Absence of critical mass phenomena in one-dimensional critical quasilinear Keller-Segel systems

Finite-time blow-up in fully parabolic quasilinear Keller-Segel systems with supercritical exponents

Superlinear transmission in an indirect signal production chemotaxis system

The Pozhidaev and Cantarini--Kac Constructions of Simple $n$ -Lie Algebras: Distinctions and Realizations