5 papers
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…
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 \cdo…
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…
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{equatio…
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…