Li Chen

collaborators

4 papers

math.AP2017

Chemotaxis model with subcritical exponent in nonlocal reaction

Shen Bian, Li Chen, Evangelos A. Latos

This paper deals with a parabolic-elliptic chemotaxis system with nonlocal type of source in the whole space. It's proved that the initial value problem possesses a unique global s…

math.AP2017

Blow-Up of Solutions to the Patlak-Keller-Segel Equation in Dimension $ν \geq 2$

Li Chen, Heinz Siedentop

We prove a blow-up criterion for the solutions to the $ν$ -dimensional Patlak-Keller-Segel equation in the whole space. The condition is new in dimension three and higher. In dimens…

math.AP2017

Wavefronts for a nonlinear nonlocal bistable reaction-diffusion equation in population dynamics

Li Chen, Evangelos Latos, Jing Li

The wavefronts of a nonlinear nonlocal bistable reaction-diffusion equation, \begin{align*} \frac{\partial u}{\partial t}=\frac{\partial^2u}{\partial x^2}+u^2(1-J_σ*u)-du,\quad(t,x…

math-ph2013

Positivity of $∣ p ∣^{a} ∣ q ∣^{b} + ∣ q ∣^{b} ∣ p ∣^{a}$

Li Chen, Heinz Siedentop

We show that $J_{a, b, n} := \frac{1}{2} (∣ p ∣^{a} ∣ q ∣^{b} + ∣ q ∣^{b} ∣ p ∣^{a})$ is positive, if $n \geq b + a$ . (Here $q$ is the multiplication by $x$ and $p := i^{- 1} \nabla$ .) Furthermore we show…

Chemotaxis model with subcritical exponent in nonlocal reaction

Blow-Up of Solutions to the Patlak-Keller-Segel Equation in Dimension ν≥2

Wavefronts for a nonlinear nonlocal bistable reaction-diffusion equation in population dynamics

Positivity of ∣p∣a∣q∣b+∣q∣b∣p∣a

Blow-Up of Solutions to the Patlak-Keller-Segel Equation in Dimension $ν \geq 2$

Positivity of $∣ p ∣^{a} ∣ q ∣^{b} + ∣ q ∣^{b} ∣ p ∣^{a}$