7 papers · 1 filter
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…
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, $\…