Yihong Du


o Recent Book at World Scientific
o Publications from 2004
o Publications 1986-2003
o Publications Collected in Math Reviews
o Citation Information in Math Reviews
o Google Scholar Profile
o Postdoctoral Fellows and Postgraduate Students
o Research Visitors
o Mathematical Analysis and Modelling Group

My research is concerned mainly with nonlinear elliptic and parabolic differential equations and nonlinear functional analysis. One aspect of my research focuses on the study of the existence, uniqueness and qualitative properties of solutions of various nonlinear differential equations, mostly arising from applied sciences, such as from mathematical biology and chemical reaction theory.

The other aspect of my research is concerned with nonlinear functional analysis and its applications to various nonlinear problems. My interests in this direction focus mainly on the development and new applications of tools in nonlinear functional analysis, such as the generalised Conley index theory, topological degree theory and critical point theory.

I've been the principal supervisor of several Master's degree students and PhD students. For scholarship opportunities, see Postgraduate Scholarships

Major Recent Grants:

  • S. Yan, E.N. Dancer, Y. Du and C.S. Lin, ARC discovery grant (DP170103087), 2017-2019;
    Nonlinear partial differential equations: bubbles, layers and stability.
  • Y. Du, ARC discovery grant (DP150101867), 2015-2018:
    Propagation described by partial differential equations with free boundary.
  • S. Yan, E.N. Dancer and Y. Du, ARC discovery grant (DP130102773), 2013-2015:
    Singularity, degeneracy and related problems in nonlinear partial differential equations.
  • Y. Du, ARC discovery grant (DP120100727), 2012-2014:
    Propagation and free boundary problems in nonlinear partial differential equations.
  • Y. Du, E.N. Dancer and S. Yan, ARC discovery grant (DP1093638), 2010-2012:
    Transitions and singular behavior in nonlinear partial differential equations.
  • Y. Du, E.N. Dancer and S. Yan, ARC discovery grant (DP0772693), 2007-2009:
    Sharp Transitions in Partial Differential Equations and Related Problems.
  • Y. Du and E.N. Dancer, ARC discovery grant (DP0344111), 2003-2006:
    Free Boundary Problems in Partial Differential Equations and Related Topics.

Email comments to ydu@turing.une.edu.au

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