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Publications from 2004
Publications 1986-2003
Publications Collected in Math Reviews
Citation Information in Math Reviews
Google Scholar Profile
Postdoctoral Fellows and Postgraduate Students
Research Visitors
Mathematical Sciences Interdisciplinary Research 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:
- Y. Du, Australian Laureate Fellowship (FL240100171), 2024-2029;
Partial differential equations for propagation and aggregation.
- Y. Du, ARC discovery grant (DP220101820), 2022-2024;
Nonlinear partial differential equations and propagation phenomena.
- F. Cirstea and Y. Du, ARC discovery grant (DP220101816), 2022-2024;
Singular solutions for nonlinear elliptic and parabolic equations.
- Y. Du, ARC discovery grant (DP190103757), 2019-2021;
Propagation via nonlinear partial differential equations.
-
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
