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

Contents

Outline

日程:
2011年9月6日(火)〜9日(金)
場所:
北海道大学理学部5号館大講義室(203号室)
組織委員:
P.E. Souganidis (University of Chicago)、石井仁司(早稲田大学)、儀我美一(東京大学)、神保秀一(北海道大学)、利根川吉廣(北海道大学)
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)
S. Mirrahimi (Université Pierre et Marie Curie, France)
N. Pozar (東京大学)
P. E. Souganidis (University of Chicago, USA)
生駒典久(早稲田大学)
石井克幸(神戸大学)
儀我美一(東京大学)
浜向直(東京大学)
二宮広和(明治大学)
三竹大寿(広島大学)
プログラム:
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
本研究集会は以下の科学研究費補助金の援助を受けています:
基盤研究(S) 課題番号21224001「複雑現象に挑む形態変動解析学の構築」(代表者:儀我美一)
基盤研究(A) 課題番号23244015「粘性解理論の深化と応用」(代表者:石井仁司)