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Multi-spots Steady States in Two-species Keller-Segel Models with Logistic Growth: Large Chemotactic Attraction Regime
Fanze Kong, Juncheng Wei, Liangshun Xu
One of the most important findings in the study of chemotactic process is self-organized cellular aggregation, and a high volume of results are devoted to the analysis of a concent…
Critical Mass Phenomena and Blow-up behavior of Ground States in stationary second order Mean-Field Games systems with decreasing cost
Marco Cirant, Fanze Kong, Juncheng Wei +1
This paper is devoted to the study of Mean-field Games (MFG) systems in the mass critical exponent case. We firstly establish the optimal Gagliardo-Nirenberg type inequality associ…
Global Existence and Aggregation of Chemotaxis-fluid Systems in Dimension Two
Fanze Kong, Chen-Chih Lai, Juncheng Wei
To describe the cellular self-aggregation phenomenon, some strongly coupled PDEs named as Keller-Segel (KS) and Patlak-Keller-Segel (PKS) systems were proposed in 1970s. Since KS a…
Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller--Segel Model with Logistic Growth
Fanze Kong, Michael Ward, Juncheng Wei
We analyze the existence, linear stability, and slow dynamics of localized 1D spike patterns for a Keller--Segel model of chemotaxis that includes the effect of logistic growth of…
Stationary Ring and Concentric-Ring Solutions of the Keller-Segel Model with Quadratic Diffusion
Lin Chen, Fanze Kong, Qi Wang
This paper investigates the Keller-Segel model with quadratic cellular diffusion over a disk in with a focus on the formation of its nontrivial patterns. We obtain ex…