Minh Le

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math.AP2026

Boundedness in a chemotaxis system with nonlinear diffusion and singular sensitivity

Minh Le

This paper studies the following chemotaxis system with nonlinear diffusion and singular sensitivity \[ \begin{cases} u_t = \nabla \cdot \left( (u+a)^{m-1} \nabla u \right) - χ\nab…

math.AP2026

Global boundedness in a Chemotaxis-May-Nowak model for virus dynamics with logistic damping

Minh Le

This paper investigates the following May--Nowak type model for viral infection in a bounded domain $Ω \subset R^{n}$ , $n \geq 2$ : $\begin{cases} u_t = Δu - χ\nabla \cdot (u \…

math.AP2026

Global existence of classical solutions to a system modeling propagation of urban crime with quadratic logistic damping

Minh Le

We are concerned with the following partial differential equations arising from urban crime modeling: \begin{equation} \label{main} \begin{cases} u_t = Δu - χ\nabla \cdot \left( u…

math.AP2026

$L^{\infty}$ bounds and asymptotic behavior in a doubly degenerate chemotaxis system below six dimensions

Minh Le

We investigate a doubly degenerate nutrient-taxis system of the form \begin{equation*} \begin{cases} u_t = \nabla \cdot (u v \nabla u) - χ\nabla \cdot (u^αv \nabla v) + \ell u v, \…

Boundedness in a chemotaxis system with nonlinear diffusion and singular sensitivity

Global boundedness in a Chemotaxis-May-Nowak model for virus dynamics with logistic damping

Global existence of classical solutions to a system modeling propagation of urban crime with quadratic logistic damping

L∞ bounds and asymptotic behavior in a doubly degenerate chemotaxis system below six dimensions

$L^{\infty}$ bounds and asymptotic behavior in a doubly degenerate chemotaxis system below six dimensions