3 citations · 3 across the 4 of their papers we have counts for
4 papers
Stable spike clusters for the precursor Gierer-Meinhardt system in R2
Juncheng Wei, Matthias Winter, Wen Yang
We consider the Gierer-Meinhardt system with small inhibitor diffusivity, very small activator diffusivity and a precursor inhomogeneity. For any given positive integer k we constr…
Stable Boundary Spike Clusters for the Two-Dimensional Gierer-Meinhardt System
Weiwei Ao, Juncheng Wei, Matthias Winter
We consider the Gierer-Meinhardt system with small inhibitor diffusivity and very small activator diffusivity in a bounded and smooth two-dimensional domain. For any given positive…
The dynamics of the stochastic shadow Gierer-Meinhardt System
M. Winter, L. Xu, J. Zhai +1
We consider the dynamics of the stochastic shadow Gierer-Meinhardt system with one-dimensional standard Brownian motion. We establish the global existence and uniqueness of solutio…
Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model
Henri Berestycki, Juncheng Wei, Matthias Winter
We study a crime hotspot model suggested by Short-Bertozzi-Brantingham. The aim of this work is to establish rigorously the formation of hotspots in this model representing concent…