Sub sections:
Mathematics, Nonlinear and Complex Analysis
Mathematics has been studied and developed for both its beauty and its applications. Nonlinear and complex analysis investigates both pure and applied mathematical problems through analytical as well as topological and algebraic tools. The topics range from nonlinear partial differential equations to pseudoholomorphic curves. Our research involves national and international collaborations, and has been supported by various national and international competitive grants. The topic in nonlinear partial differential equations focuses on various important nonlinear models arising from differential geometry and natural sciences such as biology, ecology and quantum mechanics.
Research topics:- Nonlinear partial differential equations
- Reaction-diffusion equations
- Mathematical biology
- Nonlinear functional analysis
- Complex analysis
- CR-Geometry
- Complex analytic geometry
- Pseudoholomorphic curves
Recent Major Grants:
- Y. Du, E.N. Dancer and S. Yan, Sharp Transitions in Partial Differential Equations and Related Problems, ARC discovery grant, 2007-2009, $240,000.
- Y. Du and E.N. Dancer, Free Boundary Problems in Partial Differential Equations and Related Topics, ARC discovery grant, 2003-2006, $165,000.
- V. Ejov, G. Schmalz and A Spiro, Normal forms and Chern-Moser Connection in the Study of Cauchy-Riemann Manifolds, ARC discovery grant, 2003-2006, $165,000.
Some Relevant Events:
- Partial Differential Equations, special session of 7th Australia – New Zealand Mathematics Convention, December 8 – 12, 2008, Christchurch, New Zealand
- Recent progress on nonlinear elliptic and parabolic problems and related abstract methods, October 7-12, 2007, Banff International Research Station, Canada.
- The second Japanese-Australian Workshop on Real and Complex Analysis..., Nov. 26-29, 2007, RIMS, Kyoto Univ., Japan
- Recent Advances in Nonlinear Partial Differential Equations: A celebration of Norman Dancer's 60th birthday, 16-21 July, 2006, University of New England (Armidale), Australia.
Professor Yihong Du
School of Science and Technology
Email: ydu@turing.une.edu.au
Phone: 02 6773 3066 (or +61 2 6773 3066 overseas)
Webpage: http://turing.une.edu.au/staff/ydu