Organisers:
MATRIX
Florica Cirstea (University of Sydney)
Yihong Du (University of New England)
Daniel Hauer (University of Sydney)
Valentina Wheeler (University of Wollongong)

RIMS
Hiroshi Matano (Meiji University)
Harunori Monobe (Osaka Metropolitan University)
Michiaki Onodera (Tokyo Institute of Technology)
Asuka Takatsu (Tokyo Metropolitan University)

Program Description:
Significant progress has been made in several aspects of evolutionary partial differential equations in the last decades, along different directions. This workshop will focus on reaction-diffusion equations and geometric flows, two main themes of such PDEs with well-established connections and parallel problems. For instance, such parallels can be found between traveling-wave type solutions to reaction-diffusion equations and eternal, self-translating solutions to mean curvature type flows; a specific case being pyramidal waves in Allen-Cahn equations and traveling solitons in forced mean curvature flows. These topics grow out from more general questions in the study of evolution equations, such as the classification of steady states, front-like solutions, and entire (or eternal) solutions. The results obtained in such a context provide useful information on the long-time dynamics of general solutions. While a complete characterisation of stationary or entire solutions is typically out of reach, a huge effort is made by the mathematical community to produce various type of such solutions, and to understand their qualitative properties.

The aim of the proposed workshop is to bring together leading mathematicians from Australia (and associated countries) and Japan (and associated countries), as well as early career researchers, with research interests in reaction-diffusion systems, geometric flows, elliptic equations, free boundary problems, etc., to exchange and discuss recent progresses of research, and strengthen existing and foster new collaborations.

Some of the topics we aim to focus on include:
– Propagation phenomena
– Geometric flows

Program Structure: 

Plenary talks at MATRIX are indicated by ♢, Plenary talks at RIMS are indicated by ♠.
These talks are shared between MATRIX and RIMS via zoom meeting.
Click here for talk titles and abstracts

• Arrival date: Sunday 10 March 2024
• Departure date: Friday 15 March 2024

Participant list:
Ben Andrews (Australian National University)
Danielle Hilhorst (Université Paris-Saclay, France, Professor) (Online)
Ki-Ahm Lee (Seoul National University)
Xu-Jia Wang (Australian National University)
Michael Winkler (University of Paderborn, Germany)
Jian Fang (Harbin Institute of Technology)
Mashniah Gazwani (University of Newcastle)
Ling Li (University of New England)
Jiakun Liu (University of Wollongong)
Xin Long (Zhongshan Univ. and UNE)
James McCoy (University of Newcastle)
Wenjie Ni (University of New England)
Phillip Schrader (Murdoch University)
Narges Shabgart (University of New England)
Melissa Tacy (University of Auckland)
Mary Vaughan (University of Western Australia)
Chang-Hong Wu (National Yang Ming Chiao Tung University)
Haotian Wu (The University of Sydney)
Yihong Du (University of New England)
Valentina Wheeler (University of Wollongong) (Online)
Julie Clutterbuck (Monash University)

ASSOCIATED EVENTS

MATRIX Wine and Cheese Afternoon 12 March 2024
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.