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Special Session 27

Mathematical problems in economics, materials and life science: Analysis and simulation of nonlinear multiscale dynamics

Organizer(s):

Toyohiko Aiki

Nobuyuki Kenmochi

Introduction:

This special session considers impact problems from economics, materials science and life science from a mathematical perspective. Besides well-posedness studies of nonlinear PDEs and related particle systems, the session also includes presentations on averaging processes in porous media, non-periodic homogenization, statistical mechanics of particle systems, large-time behavior of weak solutions, multiscale dynamics of pedestrian flows.

List of abstracts Go Back
Name	Country	Title
Moritz Mercker	Germany	Mathematical Modeling of Mechanochemical Pattern Formation in Biology
Maciej Cytowski	Poland	Large scale modelling of tumour dynamics
Nobuyuki Kenmochi	Japan	Parabolic quasi-variational inequalities arising from economic growth models
Toyohiko Aiki	Japan	Large time behavior of a solution to a free boundary problem describing adsorption phenomenum
Noriaki Yamazaki	Japan	Numerical experiments of Allen-Cahn equation with constraints via Lagrange multiplier
Oleh Krehel	Netherlands	A thermal diffusion system with Smoluchowski interactions: well-posedness and homogenization
Kota Kumazaki	Japan	Uniqueness of a solution for some parabolic type equation with hysteresis in three dimensional case
Keisuke Takasao	Japan	The existence of weak solution for mean curvature flow with transport term
Hartmut R Schwetlick	England	On the travelling wave problem for elastic phase transitions in the Fermi-Pasta-Ulam chain
Lisa Santos	Portugal	A two obstacles coupled problem
Hiroshi Watanabe	Japan	Strongly degenerate parabolic equations with diffusion coefficients depending on the spatial variable
Ken Shirakawa	Japan	Energy dissipations for mathematical models of grain boundary motions with isothermal solidifications
Yusuke Murase	Japan	Solvability and optimal control problems on mathematical modeling for brewing process of Japanese Sake
Adrian Muntean	Netherlands	Homogenization for a kinetic description of self-assembly of fibrous materials
Stefan Neukamm	Germany	Stochastic Homogenization: An optimal quantitative two-scale expansion