Front propagation, biological problems and related topics: viscosity solution methods for asymptotic analysis

Contents

Outline

Dates:
September　6 - 9, 2011
Venue:
Room 203, Faculty of Science Building #5, Hokkaido University
Organizers:
Yoshikazu Giga (The University of Tokyo), Hitoshi Ishii (WasedaUniversity), Shuichi Jimbo (Hokkaido University), P.E. Souganidis(University of Chicago), Yoshihiro Tonegawa (Hokkaido University)
Mini-Course Lecturer:
B. Perthame (Université Pierre et Marie Curie, France)
Lecturers:
P. Cardaliaguet (Université Paris Dauphine, France)
C.-C. Chen (National Taiwan University)
N. Dirr (Cardiff University, UK)
Y. Giga (The University of Tokyo)
N. Hamamuki （The University of Tokyo)
N. Ikoma (Waseda University)
K. Ishii (Kobe University)
H. Mitake （Hiroshima University)
S. Mirrahimi (Université Pierre et Marie Curie, France)
H. Ninomiya (Meiji University)
N. Pozar (The University of Tokyo)
P. E. Souganidis (University of Chicago, USA)
Program:
September 6 (Tuesday)
10:00-11:00 P. Cardaliaguet (Université Paris Dauphine)
Homogenization of the G equation in random environments  » Abstract
11:20-12:20 N. Ikoma (Waseda University)
Eigenvalue problem for radially symmetric fully nonlinear operator  » Abstract
14:20-15:20 S. Mirrahimi (Université Pierre et Marie Curie)
Asymptotic dynamics of a population density under selection-mutation: a Hamilton-Jacobi approach » Abstract
15:40-16:40 K. Ishii (Kobe University)
An area minimizing scheme for anisotropic mean curvature flow  » Abstract
September 7 (Wednesday)
10:00-11:00 N. Dirr (Cardiff University)
Front propoagation in a random environment  » Abstract
11:20-12:20 N. Hamamuki (The University of Tokyo)
Hamilton-Jacobi equations with discontinuous source terms  » Abstract
14:20-15:20 C.-C. Chen (National Taiwan University)
Travelling wave solutions of the 3-species Lotka-Volterra competition-diffusion system  » Abstract
15:40-16:40 N. Pozar (The University of Tokyo)
Homogenization of the Hele-Shaw problem in random and periodic media  » Abstract
17:10-18:10 B. Perthame (Université Pierre et Marie Curie)
Concentration phenomena in nonlocal PDEs and adaptive evolution in population biology Part 1  » Abstract
September 8 (Thursday)
10:00-11:00 P. E. Souganidis (University of Chicago)
Stochastic homogenization revisited and applications to unbounded environments and L∞ variational problems  » Abstract
11:10-12:10 H. Ninomiya (Meiji University)
The traveling spots and rotating waves of the wave front interaction model  » Abstract
12:30-13:30 B. Perthame (Université Pierre et Marie Curie)
Concentration phenomena in nonlocal PDEs and adaptive evolution in population biology Part 2  » Abstract
18:00-20:00 Reception at Kyara-tei (on campus)
September 9 (Friday)
10:00-11:00 B. Perthame (Université Pierre et Marie Curie)
Concentration phenomena in nonlocal PDEs and adaptive evolution in population biology Part 3  » Abstract
11:20-12:20 H. Mitake (Hiroshima University)
On the large time behavior of solutions of weakly coupled systems of Hamilton-Jacobi equations  » Abstract
14:20-15:20 Y. Giga (The University of Tokyo)
Eikonal equations in metric spaces  » Abstract