4 citations · 4 across the 6 of their papers we have counts for
6 papers
Blow-up prevention by sub-logistic sources in 2d Keller-Segel system
Minh Le
This paper investigates the global existence of solutions to Keller-Segel systems with sub-logistic sources using the test function method. Prior work demonstrated that sub-logisti…
Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system
Minh Le
The focus of this paper is on solutions to a two-dimensional Keller-Segel system containing sub-logistic sources. We show that the presence of sub-logistic terms is adequate to pre…
Global existence of solutions to the chemotaxis system with logistic source under nonlinear Neumann boundary condition
Minh Le
We consider classical solutions to the chemotaxis system with logistic source under nonlinear Neumann boundary condition $\frac{\partial u}{ \partial ν} = |u|^{p}…
Persistent Homology with k-nearest-neighbor Filtrations reveals Topological Convergence of PageRank
Minh Quang Le, Dane Taylor
Graph-based representations of point-cloud data are widely used in data science and machine learning, including epsilon-graphs that contain edges between pairs of data points that…
Explicit lower bound of blow-up time in a fully parabolic attraction-repulsion chemotaxis system with nonlinear terms
Minh Le, Zhengfang Zhou
It is known that for the parabolic-elliptic Keller-Segel type system in a smooth bounded domain in 3-dimensional space, the lower bound of a blow-up time of unbounded solution is g…
Persistent homology of convection cycles in network flows
Minh Quang Le, Dane Taylor
Convection is a well-studied topic in fluid dynamics, yet it is less understood in the context of networks flows. Here, we incorporate techniques from topological data analysis (na…