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Mathematical Analysis of Chemotaxis and Related Systems

Organizer(s):
Name:	Affiliation:	Country:
Tomomi Yokota	Tokyo University of Science	Japan
Tian Xiang	Renmin University of China	Peoples Rep of China

Abstract:

Chemotaxis is the directed movement of cells towards increasing concentrations of a chemical substance which is produced by cells. After Keller and Segel proposed chemotaxis systems in 1970, these systems have attracted considerable attention in mathematical studies. This special session will focus on mathematical analysis of chemotaxis and related parabolic systems such as the Keller-Segel model and various models related to tumor invasion, Navier-Stokes fluid, Lotka-Volterra kinetics, etc. The purpose of this session is to exchange recent results and methods leading to qualitative properties for global existence, boundedness, blow-up, large-time behavior of solutions to chemotaxis and related systems.

List of approved abstract
Name	Affiliation	Title
Yang Cao	Dalian University of Technology	Life Span for a Semilinear Pseudo-Parabolic Equation with Initial Data non-Rarefied at $\infty$
Yutaro Chiyo	Tokyo University of Science	Global solvability in an attraction-repulsion chemotaxis system with logistic source
Siming He	Duke	Suppression of Chemotactic collapse through fluid-mixing and fast-splitting
Shunsuke Kurima	Tokyo University of Science	Asymptotic analysis for a Cahn--Hilliard type chemotaxis system
Monica Marras	University of Cagliari	Blow up phenomena for a class of Keller-Segel problems.
Masaaki Mizukami	Tokyo University of Science	Convergence of solutions for a two-species chemotaxis model to those for the Lotka--Volterra competition model
Stella Piro-Vernier	Facolta` di Ingegneria ed Architettura, Universita` di Cagliari	Qualitative properties for solutions to some classes of parabolic systems
Rachidi Salako	Ohio State University	Spatial spreading speeds of chemotaxis models with logistic growth}
Takashi Suzuki	Osaka University	Dissipative reaction diffusion systems with polynomial growth
Giuseppe Viglialoro	University of Cagliari	On a lower bound for the blow-up time of solutions to a two-dimensional attraction-repulsion chemotaxis system
Hiroshi Wakui	Tokyo University of Science	Existence of a self-similar solution to a problem of a model of chemotaxis in higher dimensions
Tian Xiang	Renmin University of China	On boundedness, gradient estimate, blow-up and convergence in a two-species and two-stimuli chemotaxis system with/without loop