AIMS Home

SS47: Bifurcations and Asymptotic Analysis of Solutions of Nonlinear Models

Organizer(s):
Name:	Affiliation:	Country:
Jann-Long Chern	Central University	Taiwan
Yoshio Yamada	Waseda University	Japan
Shoji Yotsutani	Ryukoku University	Japan

Abstract:
The aim of this special session is to exchange recent results, ideas and techniques on nonlinear elliptic and parabolic PDEs, including reaction-diﬀusion systems and free boundary problems, from mathematical physics, chemical reactions, mathematical biology, medical science and some other ﬁelds. In particular, we are interested in the global bifurcation structure for such models. Combinations of numerical simulations and theoretical approaches with asymptotic analysis will be very useful to understand the nonlinear phenomena together with underlying structure of solutions. We will give opportunities to both established and junior researchers working in the related area to present their recent results.

List of approved abstract
Name	Affiliation	Title
Soohyun Bae	Hanbat National University	Partial separation of positive entire solutions for semilinear elliptic equations
Jia-Yuan Dai	Free University of Berlin	Spiral Waves in Circular and Spherical Geometries: The Ginzburg-Landau Paradigm
MAHO ENDO	Waseda University	Asymptotic Behavior of Solutions to Nonlinear Diffusion Problems with Dirichlet and Free Boundary Conditions
Yoshitsugu Kabeya	Osaka Prefecture University	Eigenvalues of the Laplace-Beltrami operator on a zonal domain in the unit sphere
Yuki KANEKO	Waseda University	Properties of spreading solutions to a free boundary problem with Dirichlet boundary conditions
Kousuke Kuto	University of Electro-Communications	Bifurcation structure of a prey-predator model with population flux by attractive transition
Masaaki Mizukami	Tokyo University of Science	The Fisher--KPP equation as an asymptotic limit of a chemotaxis system with logistic source
Tatsuki Mori	Osaka University	Existence, nonexistence, multiplicity, and numerical stability of solutions for the SKT cross-diffusion stationary limiting equation
Yoshihisa Morita	Ryukoku University	Turing-type instability of diffusion equations with mass transport through the boundary
Minoru Murai	Osaka City University	On the asymptotic form of solutions of the Tadjbakhsh-Odeh`s variational problem
Masaharu Nagayama	Hokkaido University	Theoretical analysis of a mathematical model for a self-propelled motion
Shingo Takeuchi	Shibaura Institute of Technology	Applications of generalized trigonometric functions to nonlocal boundary value problems
Tohru T Wakasa	Kyushu Institute of Technology	Characterization on eigenvalues and eigenfunctions for 1-dimensional linearized scalar field equations
Eiji Yanagida	Tokyo Institute of Technology	Dynamics of hot spots in the one-dimensional logarithmic diffusion equation
Tomomi Yokota	Tokyo University of Science	Remarks on boundedness and stabilization in a fully parabolic Keller-Segel system with signal-dependent sensitivity