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4 papers
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…
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…
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…
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…