82 citations · 225 across the 18 of their papers we have counts for
19 papers
An Explicit Logistic Damping Criterion for Boundedness in a Fully Parabolic Keller--Segel System
Jie Jiang
We study the fully parabolic Keller--Segel system \[ u_t=Δu-χ\nabla\!\cdot(u\nabla v)+λu-μu^2, \qquad τv_t=Δv-v+u \] in a bounded smooth convex domain. For every fixed , we pr…
On a Keller--Segel System with Density-Suppressed Motility, Indirect Signal Production, and External Sources
Yujiao Sun, Jie Jiang
This paper investigates an initial-Neumann boundary value problem for a Keller--Segel system with parabolic-parabolic-ODE coupling. The model incorporates a signal-dependent, non-i…
Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility
Jie Jiang, Philippe Laurençot
Global existence and boundedness of classical solutions are shown for a parabolic-elliptic chemotaxis system with local sensing when the motility function is assumed to be unbounde…
Global Existence and Uniform Boundedness in a Fully Parabolic Keller-Segel System with Non-monotonic Signal-dependent Motility
Yamin Xiao, Jie Jiang
This paper is concerned with global solvability of a fully parabolic system of Keller--Segel-type involving non-monotonic signal-dependent motility. First, we prove global existenc…
Optimality conditions for nonsmooth nonconvex-nonconcave min-max problems and generative adversarial networks
Jie Jiang, Xiaojun Chen
This paper considers a class of nonsmooth nonconvex-nonconcave min-max problems in machine learning and games. We first provide sufficient conditions for the existence of global mi…
Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption
Jie Jiang, Philippe Laurençot, Yanyan Zhang
Well-posedness and uniform-in-time boundedness of classical solutions are investigated for a three-component parabolic system which describes the dynamics of a population of cells…