Organisers: Yihong Du (University of New England, Australia), Daniel Hauer (University of Sydney, Australia), Angela Pistoia (Sapienza Università di Roma, Italy)

Program Description: This meeting serves to gain a deeper understanding of several key themes in nonlinear elliptic and parabolic PDEs, where spectacular progress has been made in recent years. These include spatial segregation in nonstandard diffusion, propagation in heterogeneous media, gradient blow-up of diffusive Hamilton-Jacobi equations, and some selected topics on geometric flows. We aim to bring to the fore the key challenges for future research in these areas. During this 14-day workshop, we intertwine talks from each community of the four main themes and highlight the most salient ideas, proofs and questions, which are important and fertile for pushing forward the research in these areas in Australia and worldwide.

The program will focus around four mini-courses:

1. Susanna Terracini – “Spatial segregation with non-standard diffusions”
2. Philippe Souplet – “An introduction to nonlinear Liouville theorems for reaction-diffusion equations and systems and their applications”
3. Hiroshi Matano – “Front propagation in the presence of obstacles”
4. Ben Andrews – “Multi-point maximum principles with applications to sharp gradient estimates and travelling waves”

1 and 2 will be given in the first week, while 3 and 4 in the second week.

Program Details and Materials:
Program Structure. (Please click on the image to enlarge).
  

Registration:

• Deadline: 2 September 2018
• Registration is by invitation only

Participant List:
Yihong Du (University of New England)
Daniel Hauer (University of Sydney)
Angela Pistoia (Sapienza Università di Roma)
Susanna Terracini (University of Turin)
Philippe Souplet (University of Paris 13)
Changfeng Gui (University of Texas at San Antonio)
Robin Neumeyer (Northwestern University)
Jerome Coville (INRA)
Isabella Ianni (University of Campania)
Massimo Grossi (University of Roma 1)
Benedetta Pellacci (University of Campania)
Serena Dipierro (University of Milan)
Yannick Sire (Johns Hopkins University)
Enrico Valdinoci (University of Milan)
Florica Cirstea (University of Sydney)
Bernhard Ruf (University of Milan)
Michael Winkler (Universität of Paderborn)
Francesca Gladiali (University of Sassari)
Gianmaria Verzini (Politecnico di Milano)
Hiroshi Matano (Meiji University)
Ben Andrews (The Australian National University)
Xu-Jia Wang (The Australian National University)
Ki-Ahm Lee (Seoul National University)
Masaharu Taniguchi (Okayama University)
Daniel Daners (University of Sydney)
Julie Clutterbuck (Monash University)
Wolfgang Arendt (University of Ulm)
Paul Bryan (Macquarie University)
Guofang Wei (University of California at Santa Barbara)
Barbara Brandolini (University of Naples Federico II)
Glen Wheeler (University of Wollongong)
James McCoy (University of Newcastle)
Timothy Collier (University of Sydney)
Yuhan Wu (University of Wollongong)
Elisa Affili (University of Milan)
Pietro Miraglio (University of Milan)

ASSOCIATED EVENTS