Mathematical Analysis and Modelling Research Group

The Mathematical Analysis and Modelling Research Group has a broad range of interests that span pure and applied mathematics. We study a number of problems due to their intrinsic mathematical interest and their applications in various areas of science, technology and industry. Our research areas include differential equations, real and complex differential geometry, topology, CR-geometry, mathematical biology, combinatorics and operations research. Our research is applicable to, or is applied directly in, multiple branches of science including biology, chemistry, physics, rural sciences, sports science, economics and data science, as well as in business and industry.

Our People

Postdoctoral and Research Fellows
  • Ting-Ying Chang
  • Benniao Li
  • Maolin Zhou
  • Wenjie Ni
PhD Students
  • Basim Alsaedi
  • Sharifah Alzubaidi
  • Barry Evans
  • Kamruzzaman Khan
  • Hayden Koudela
  • Rajnesh Mudaliar
  • Arthur Van Der Merwe
  • Rong Wang

Research

Research Grants
  1. Y Du, ARC discovery grant (DP190103757), 2019-2021, $464,000; Propagation via nonlinear partial differential equations.
  2. A Ward, T Schaerf, M Wikelski, J Krause and S Krause, ARC discovery grant (DP190100660), 2019-2021, $336,000; Understanding animals through their movement.
  3. Maolin Zhou, Nonlinear free boundary problems: propagation and regularity, ARC DECRA award, 2017-2019, $330,324.
  4. S. Yan, E.N. Dancer, Y. Du and C.S. Lin, Nonlinear partial differential equations: bubbles, layers and stability, ARC discovery grant, 2017-2019, $345,000.
  5. Y. Du, Propagation described by partial differential equations with free boundary, ARC discovery grant, 2015-2018, $415,000.
  6. S. Yan, E.N. Dancer and Y. Du, Singularity, degeneracy and related problems in nonlinear partial differential equations, ARC discovery grant, 2013-2015, $300,000.
  7. G. Schmalz, Y. Nikolayevsky, G. Cairns,  V. Ejov and D. Alekseevsky, Symmetries in real and complex geometry, ARC discovery grant, 2013-2015, $258,000.
  8. Y. Du, Propagation and free boundary problems in nonlinear partial differential equations, ARC discovery grant, 2012-2014, $255,000.
  9. Y. Du, E.N. Dancer and S. Yan, Transitions and Singular Behaviour in Nonlinear Partial Differential Equations, ARC discovery grant, 2010-2012, $306,000.
  10. Y. Du, Mathematical modelling of the spreading of invasive species, UNE PVCR grant, 2010, $30,000.
  11. Y. Du, S, Yan, G. Schmalz and A. Harris,   Singularities in nonlinear and complex analysis,   UNE IRL grant, 2009, $13,000.
  12. Y. Du, E.N. Dancer and S. Yan,   Sharp Transitions in Partial Differential Equations and Related Problems,  ARC discovery grant, 2007-2009, $240,000.
  13. Y. Du, A. Harris, G. Schmalz and S. Yan,   Partial differential equations and complex geometry,   UNE grant, 2007-2008, $11,000
  14. Y. Du and E.N. Dancer,   Free Boundary Problems in Partial Differential Equations and Related Topics,  ARC discovery grant, 2003-2006, $158,000.
  15. 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.
  16. Y. Du,  Sharp transitions in partial differential equations and related problems, UNE RPG, 2006, $14,500.
  17. Y. Du,   Singular perturbation and transition layers in heterogeneous environment,  Australian Academy of Science and JSPS (Japan), 2005, $7,600.
  18. Y. Du,   Partial differential equations with unconventional boundary conditions and applications,   UNE RPG, 2005, $13,000.
  19. Y. Du,   Partial differential equations with unconventional boundary conditions and applications,   UNE RPG, 2004, $10,000.

News, Seminars and Outreach Activities

News
  • UNE will host the 2020 Australian Mathematical Society annual meeting during Dec 8-11.
  • Mr Meng Zhao, visiting PhD student from Lanzhou University, funded by the China Scholarships Council, has just completed his 1.5-year visit and returned back to China. He worked with Prof. Yihong Du and members of the PDE group during his visit, on propagation problems via nonlinear PDE models, and has completed several joint papers on this topic.
  • Professor Yihong Du has accepted an invitation to give a plenary talk at the Eighth Pacific Rim Conference in Mathematics, to be held at U.C. Berkeley during Aug. 3-7, 2020
  • Postponed: Professor Norman Dancer of the University of Sydney will visit UNE during March 30-April 3.
Seminars

Forthcoming mathematics seminar:

POSTPONED:
Date  Wednesday April 1, 11am, Maths Seminar Room (room 113 building C26)
Speaker: Prof. Norman Dancer (University of Sydney)
Title: Some large interaction problems