Nonlinear analysis and differential equations
Our research is concentrated on:
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Nonlinear partial differential equations, in particular systems;
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Dynamical systems;
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Calculus of Variations;
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Geometric evolution equations (in particular the harmonic map heat flow, Yang-Mills flow, and
curvature flows);
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Financial Mathematics.
We have active collaborations with a number of groups inside Australia and
around the world.
For more information please follow the links to people's personal web pages.
Current Faculty
Non-linear partial differential equations, geometric evolution equations,
calculus of variations.
Non-linear Partial Differential Equations, Geometric Analysis, Calculus
of Variations.
Non-linear analysis, Non-linear differential and difference equations,
Stochastic differential equations, Mathematical finance.
Emeriti
Partial differential equations, Elliptic non-linear equations, Calculus
of variations.
Dynamical systems and chaos, computation and chaos, robust control,
endogenous growth, robustness of economic modelling.
Current Students
- Mesliza Mohamed, (PhD student): Existence results for boundary value problems
for systems of difference equations associated with systems of
second-order ordinary equations.
Advisors: Bevan Thompson and Joseph Grotowski.
- Frank Wrathmall, (PhD student):
Existence results in nonlinear ordinary differential
equations: boundary value problems.
Advisors: Bevan Thompson and Joseph Grotowski.
- Grethe Casson, (MSc student):
Weather Derivatives.
Advisor: Bevan Thompson.
- Yassin Abdullah, (MSc student):
De Rham Comology and the Hodge Theorem.
Advisor: Min-Chun Hong.
- David Fuller, (MSc student):
Partial Regularity Theory for Systems
of Second-Order Elliptic Partial
Differential Equations.
Advisors: Joseph Grotowski, Min-Chun Hong.
- Charles Baker, (BSc honours student):
The Yang-Mills equation and Yang-Mills flow.
Advisors: Min-Chun Hong, Tony Bracken (associate).
- Jeremy Britton, (BSc honours student):
Interest Rate Modelling.
Advisor: Bevan Thompson.
- Jabin Kirk, (BSc honours student):
The Willmore surface and Willmore flow.
Advisor: Min-Chun Hong.
- Lorenz Schabrun, (BSc honours student):
Differential Geometry, principal fibre bundles and
Yang-Mills theory.
Advisor: Min-Chun Hong.
Visiting Scholars
- Jutarat Kongson, (PhD student at Mahidol University, Bangkok): Boundary
Value Problems for Systems of Ordinary Differential Equations and
Difference Equations.
Recent Graduates
- Ben Petschel, (PhD 2004): Mean Reversion Models for Weather Derivatives.
Advisor: Bevan Thompson.
- Jamie Alcock, (PhD 2004):
Numerical Methods in Stochastic Modelling with
Application to the Australian Electricity Markets.
Associate Advisor: Bevan Thompson.
- Christopher Tisdell, (PhD 2002):
Boundary value problems and variational
problems.
Advisor: Bevan Thompson.
- Jisong Jason Xiang, (MSc 2004):
Interest Rate Modelling.
Advisor: Bevan Thompson.
- John Tiong, (MSc 2003):
Derivative Pricing: The Black-Scholes Model.
Advisor: Bevan Thompson.
- Mong Hui Goh, (BSc(hons) 2005):
Harmonic Function Theory.
Advisor: Jan Chabrowski.
- Andrew Morris, (BSc(hons) 2004):
Sobolev Spaces and the Spectral Theory of Schrödinger Operators.
Advisor: Jan Chabrowski.