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math.DS2024
Localized patterns in the Gierer Meinhardt model on a cycle graph
Theodore Kolokolnikov, Juncheng Wei, Shuangquan Xie
In this study, we provide a detailed analysis of the spike solutions and their stability for theGierer-Meinhardt model on discrete lattices. We explore several phenomena that have…
math.AP2024
An Ohta-Kawasaki Model set on the space
Lorena Aguirre Salazar, Xin Yang Lu, Jun-cheng Wei
We examine a non-local diffuse interface energy with Coulomb repulsion in three dimensions inspired by the Thomas-Fermi-Dirac-von Weizsäcker, and the Ohta-Kawasaki models. We consi…