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: 
TBC

Registration:

• Deadline: 30 Nov 2023
• Registration is by invitation only. If you are interested to participate in this research program, please contact one of the organisers with your CV and research background.
• Arrival date: Sunday 10 March 2024
• Departure date: Friday 15 March 2024

ASSOCIATED EVENTS

MATRIX Wine and Cheese Afternoon TBC
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.