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About the School

International Conference on Nonlinear Partial Differential Equations 2022

More information at the conference website.

Program Description:

Taking advantage of Professor Yihong Du’s 60th birthday, this conference will bring together leading international researchers on nonlinear partial differential equations, as well as Australian researchers, in particular junior researchers, to report and discuss recent developments, exchange ideas, and foster or strengthen collaborations.

The conference will focus on new developments in several themes of nonlinear partial differential equations and their applications, especially those to which Professor Du has made significant contributions. They include nonlinear elliptic and parabolic equations, the calculus of variations, and their applications in biology.

Intensive research meeting at MATRIX on Isoperimetric Inequalities (2021)

Intensive research meeting at MATRIX on Isoperimetric Inequalities (2021)

organised together with

This event is scheduled from 15-26 Nov. 2021 at the MATRIX research institute, Cresswick, Australia.

Registration is by invitation only.

More information at the MATRIX Institute page.

Program Description:

Isoperimetric comparisons may be used to uncover new properties of curved spaces, and to estimate eigenvalues of operators of physical significance. Isoperimetric estimates have an ancient history, comparing the area and perimeter of regions. Only recently have the complex geometric situations seen in nature begun to be understood. These include excitation energies in quantum mechanics, and the geometry of soap bubbles. The field brings together the theory of PDE, differential geometry and non-smooth metric geometry and has continued to produce novel and exciting mathematics since antiquity.

This program will gather together experts in such isoperimetric inequalities to progress this challenging, yet recently quite fruitful area. In particular it will facilitate communication between researchers working on different aspects of the field that may not yet be communicating with each other. For example, those researchers with expertise in PDE aspects may not be up to date on the latest results in RCD spaces and vice-versa.

made spectacular progress in the study of nonlinear elliptic and parabolic partial differential equations. In this two-days workshop, we aim to bring to the fore the key challenges for the future in quantitatively analysing the regularity and their dynamics (blow-up behaviour, traveling waves) of solutions arising from free boundary problems related to problems in Mathematical Biology.

International workshop on Stochastic PDEs (2019)

International workshop on Stochastic PDEs (2019)

organised together with Ben Goldys

This workshop will bring together specialists in the theory and numerical methods for stochastic partial differential equations and their applications, specialists in PDEs and stochastic analysis.

This event was held at the University of Sydney, 26-28 August 2019.

More information at Australian Mathematical Science Institute (AMSI).

Recent Trends in Nonlinear PDEs - MATRIX Satellite Conference (2018)

Recent Trends in nonlinear PDEs (2018)

organised together with Norman Dancer

More information at pdes2018.html

In recent years, the following themes

  • Blow-up problems
  • Free boundary problems
  • Mathematical Biology
  • Regularity to elliptic and parabolic equations

made spectacular progress in the study of nonlinear elliptic and parabolic partial differential equations. In this two-days workshop, we aim to bring to the fore the key challenges for the future in quantitatively analysing the regularity and their dynamics (blow-up behaviour, traveling waves) of solutions arising from free boundary problems related to problems in Mathematical Biology.

During this two day workshop, talks from each community are intertwined, serving to highlight salient ideas, proofs and questions, which are important fertile ground for pushing forward research in Australia and world-wide.

This international conference was held at the University of Sydney, 1st-2nd November 2018.

International Conference on PDEs, Geometric Analysis and Functional Inequalities (2017)

organised together with

The aim of this conference is demonstrate and strengthen connections between partial differential equations, geometry, and functional inequalities. The conference will also foster and invigorate the Japanese–Australian partnership in mathematics, especially in nonlinear analysis, building on a fine history of collaboration and support between our mathematical communities. This conference is generously sponsored by the Australian Mathematical Sciences Institute (AMSI), the Australian Mathematical Society (AustMS), Tohoku University (Japan), the University of Wollongong and the University of Sydney.

The event was held at the University of Sydney, 7 – 10 March 2017.

More information at ga2017.

International conference on nonlinear PDEs (2016)

organised together with

Taking advantage of Professor Norman Dancer’s 70th birthday, this conference will bring together leading international researchers on nonlinear partial differential equations, as well as Australian researchers, in particular junior researchers, to report and discuss recent developments, exchange ideas and foster/strengthen collaborations. The conference will focus on new developments in several themes of nonlinear partial differential equations and their applications, especially those on which Prof Dancer has made significant contributions. They include nonlinear elliptic and parabolic equations, the calculus of variations, and applications in physics, biology and geometry.

The event was held at the University of New England, Armidale, 21 – 25 November 2016.

More information at nlpde2016.

Recent Trends in Nonlinear Evolution Equations (2015)

Recent Trends in Nonlinear Evolution Equations (2015)

organised together with

More information at

In recent years, there has been spectacular progress in the study of nonlinear diffusion equations and geometric flows. The fundamental aim of this workshop is to showcase these advances. Key challenges for the future that we target include the quantitative analysis of the dynamics of solutions arising from flows generated by deterministic, nondeterministic, and geometric evolution equations.

This international workshop was held at the University of Sydney, 4th-5th November 2015.