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20232026
most citedBoundedness in a chemotaxis system with weakly singular sensitivity in dimension two with arbitrary sub-quadratic degradation sources

1 citations · 1 across the 7 of their papers we have counts for

collaborators

8 papers

math.AP2026

A Sharp Global Boundedness Result for Keller--Segel--(Navier--)Stokes Systems with Rapid Diffusion and Saturated Sensitivities

Minh Le

We investigate the Keller--Segel--(Navier--)Stokes system posed in a smooth bounded domain \(Ω\subset \mathbb{R}^N\) with \(N = 2,3\): \begin{equation*} \begin{cases} n_t + u \cdot…

math.AP2025

Global boundedness, absorbing sets and mass persistene in two-dimensional chemotaxis-Navier-Stokes systems with weakly singular sensitivity and sub-logistic sources

Minh Le, Alexey Cheskidov

This paper studies the following chemotaxis-fluid system in a two-dimensional bounded domain : \begin{equation*} \begin{cases} n_t + u \cdot \nabla n &= Δn - χ\nabla \cdot \left…

math.AP2025

An improvement toward global boundedness in a fully parabolic chemotaxis with singular sensitivity in any dimension

Minh Le

This paper deals with the problem of global solvability and boundedness of classical solutions to a fully parabolic chemotaxis system with singular sensitivity in any dimensional s…

math.AP2025

Global boundedness in the higher-dimensional fully parabolic chemotaxis with weak singular sensitivity and logistic source

Minh Le

We consider the following chemotaxis system under homogeneous Neumann boundary conditions in a smooth, open, bounded domain with : \begin{equation…

math.AP2025

Absence of blow-up in a fully parabolic chemotaxis system with weak singular sensitivity and logistic damping in dimension two

Minh Le

It is shown in this paper that blow-up does not occur in the following chemotaxis system under homogeneous Neumann boundary conditions in a smooth, open, bounded domain \(Ω\subset…

math.AP2024

Global existence of solutions to the fully parabolic chemotaxis system with logistic source under nonlinear Neumann boundary conditions

Minh Le

We study the existence of global boundedness solutions to the fully parabolic chemotaxis systems with logistic sources, , under nonlinear Neumann boundary conditions, $\f…

math.AP2024★ 1 cited

Boundedness in a chemotaxis system with weakly singular sensitivity in dimension two with arbitrary sub-quadratic degradation sources

Minh Le

We study the global existence and boundedness of solutions to a chemotaxis system with weakly singular sensitivity and sub-logistic sources in a two dimensional domain. X. Zhao (No…

math.AP2023

Global existence of solutions in two-species chemotaxis system with two chemicals with sub-logistic sources in 2d

Minh Le

This paper investigates the global existence and boundedness of solutions in a two-species chemotaxis system with two chemicals and sub-logistic sources. The presence of a sub-logi…