Recent results for the logarithmic Keller-Segel-Fisher/KPP System

We consider a Keller-Segel type chemotaxis model with logarithmic sensitivity and logistic growth. It is a 2 by 2 system describing the interaction of cells and a chemical signal. We study Cauchy problem with finite initial data, i.e., without the commonly used smallness assumption on  initial pert...

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Bibliographic Details
Main Authors: Yanni Zeng, Kun Zhao
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/44494