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math.AP2022
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}…
math.AT2022★ 4 cited
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…
math.AP2022
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…