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Nonlinear Evolution Equations and Related Topics

Organizer(s):
Name:	Affiliation:	Country:
Goro AKAGI	Mathematical Institute, Graduate School of Science, Tohoku University	Japan
Michinori ISHIWATA	Department of Systems Innovation, Graduate School of Engineering Science, Osaka University	Japan
Mitsuharu OTANI	Department of Applied Physics, School of Science and Engineering, Waseda University	Japan

Abstract:

This session will focus on the recent developments in the theory of Nonlinear Evolution Equations and Related Topics including the theory of abstract evolution equations in Banach spaces as well as the studies of several types of nonlinear partial differential equations (the existence, regularity and asymptotic behavior of solutions).

List of approved abstract
Name	Affiliation	Title
Goro Akagi	Mathematical Institute, Tohoku University	Rates of convergence to asymptotic profiles for fast diffusion on domains
Yutaro Chiyo	Tokyo University of Science	Existence of bounded classical solutions to a chemotaxis system modeling tumor angiogenesis
Jorge A Esquivel-Avila	Universidad Autonoma Metropolitana	Some remarks about the existence of nonglobal and global solutions of a class of evolution equations
Ciprian Gal	Florida International University	On fractional in time diffusion equations
Andrea Giorgini	Politecnico di Milano	Recent results for the Navier-Stokes-Cahn-Hilliard system with unmatched densities
Maurizio Grasselli	Politecnico di Milano	Multi-component Cahn-Hilliard and Allen-Cahn equations
Kosuke Kita	Waseda University, Graduate School of Advanced Science and Engineering	On critical phenomena for nonlinear heat equations on bounded domains characterized by nonlinear boundary conditions
Akisato Kubo	Fujita Health University	Non-linear evolution equations with non-local coefficients arised in chemotaxis models
Monica Marras	University of Cagliari	Qualitative behavior of solutions to a class of Keller-Segel system
Tomoyuki Oka	The University of Tokyo	Homogenization problem with nonlinear boundary conditions and its applications to optimal design problems
Florian Salin	Institut Camille Jordan	Numerical analysis of fractional nonlinear diffusion equation
Kotaro Sato	Graduate School of Science, Tohoku University	On some evolution equation with irreversibility and energy-conservation arising from fracture mechanics
Yuya Tanaka	Department of Mathematics, Tokyo University of Science	Blow-up in a generalized diffusive Lotka--Volterra competition model with chemotaxis
Shun Uchida	Oita University	Solvability of doubly nonlinear parabolic equation with p-Laplacian
Tatsuya Watanabe	Kyoto Sangyo University	Ground state solutions for quasilinear scalar field equations arising in nonlinear optics
Tomomi Yokota	Tokyo University of Science	Global dynamics in a degenerate chemotaxis model for tumor invasion