Special Session 7: Emergence and Dynamics of Patterns in Nonlinear Partial Differential Equations and Related Fields
Organizer(s): Danielle Hilhorst , Yoshihisa Morita , Junping Shi

Parallel Session 1 :: Wednesday, May 31, 13:30 – 15:30                     LH132
13:30-14:00	Yihong Du (University of New England, Australia)  Spreading profile of two invading competitors

14:00-14:30

Ken-Ichi Nakamura (Kanazawa University, Japan)  The sign of the speed of bistable traveling waves for the Lotka-Volterra competition-diffusion system

14:30-15:00

King Yeung Lam (The Ohio State University, USA)  Front Propagation in the Shadow Wave-Pinning Model

15:00-15:30

Hiroshi Matsuzawa (Kanagawa University, Japan)  Nonlinear Stefan problem with a certain class of multi-stable nonlinearity

Parallel Session 2 :: Wednesday, May 31, 16:00 – 18:30                     LH132
16:00-16:30	Chris Cosner (University of Miami, USA)  Reaction-diffusion models for dispersal in a stage structured population

16:30-17:00

Inkyung Ahn (Korea University, Korea)  Predator-prey systems with prey-dependent diffusion in spatially heterogeneous habitat

17:00-17:30

Yasuhito Miyamoto (The University of Tokyo, Japan)  Stability and complete bifurcation diagram for a shadow Gierer-Meinhardt system in one space dimension

17:30-18:00

Rachidi Salako (University of Nevada Las Vegas, USA)  Mathematical analysis of the dynamics of some reaction-diffusion models for infectious diseases

18:00-18:30

Yixiang Wu (Middle Tennessee State University, USA)  Global dynamics of a reaction-diffusion epidemic model with nonlinear incidence mechanism

Parallel Session 3 :: Thursday, June 1, 08:00 – 09:30                     LH132
8:30-9:00	Anna Ghazaryan (Miami University, USA)  Stability of KPP-Type Fronts in Rosenzweig-MacArthur Model

9:00-9:30

Hirofumi Izuhara (University of Miyazaki, Japan)  Instability of planar waves in a combustion problem

Parallel Session 4 :: Thursday, June 1, 14:00 – 16:00                     LH132
14:00-14:30	Eduard Feireisl (Mathematical Institute, Czech Academy of Sciences, Czech Rep)  The Rayleigh--B\enard problem for compressible fluid flows

14:30-15:00

Alain Miranville (University of Poitiers, France)  The Cahn-Hilliard equation with a source term

15:00-15:30

Morgan Pierre (Universite de Poitiers, France)  Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation

15:30-16:00

Masaharu Nagayama (Hokkaido University, Japan)  Phase-field approximation model for a self-propelled motion

Parallel Session 5 :: Thursday, June 1, 16:30 – 19:00                     LH132
16:30-17:00	Yi Li (John Jay College of Criminal Justice, CUNY, USA)  Monotone properties of the eigenfunction of Neumann problems

17:00-17:30

Toshiyuki Ogawa (Meiji University, Japan)  Pattern dynamics appearing on compact metric graph

17:30-18:00

Yuta Ishii (National Institute of Technology, Ibaraki College, Japan)  Spiky patterns for the Schnakenberg model on a star shaped graph

18:00-18:30

Paolo Piersanti (Indiana University Bloomington, USA)  Modelling and analysis of grounded shallow ice sheets

Parallel Session 6 :: Friday, June 2, 08:00 – 10:00                     LH132
8:00-8:30	Hideki Murakawa (Ryukoku University, Japan)  Discretization of a model governing the motion of two cell populations

8:30-9:00

Mabel Lizzy Rajendran (Queen`s University Belfast, No Ireland)  Nonlocal operators in cancer models

9:00-9:30

William C Troy (University of Pittsburgh, USA)  Spiral Solutions Of The Koppel-Howard Lambda-Omega Reaction-Diffusion Equations