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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
Global regularity and convergence to equilibrium of reaction-diffusion systems with nonlinear diffusion
Klemens Fellner, Evangelos Latos, Bao Quoc Tang
We study the boundedness and convergence to equilibrium of weak solutions to reaction-diffusion systems with nonlinear diffusion. The nonlinear diffusion is of porous medium type a…
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…