QUT offers a diverse range of student topics for Honours, Masters and PhD study. Search to find a topic that interests you or propose your own research topic to a prospective QUT supervisor. You may also ask a prospective supervisor to help you identify or refine a research topic.
Found 2 matching student topics
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Weakly nonlinear water waves in the complex plane
Weakly nonlinear waves are described by dispersive pdes, such as the famous Korteweg–De Vries (KdV) equation. These models have applications to a variety of phenomena in physics, including the propagation of water waves, but they are also interesting from a mathematical perspective because they can have special properties.While the KdV equation and its variants are well-studied in the literature, a new approach is to attempt to learn about wave propagation by investigating solution behaviour in complex plane. For example, there …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Curvature dependence of reaction-diffusion wave front speed with nonlinear diffusion.
Reaction-diffusion waves describe the progression in space of wildfires, species invasions, epidemic spread, and biological tissue growth. When diffusion is linear, these waves are known to advance at a rate that strongly depends on the curvature of the wave fronts. How nonlinear diffusion affects the curvature dependence of the progression rate of these wavefronts remains unknown.
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
- Centre for Biomedical Technologies
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