Dr Philippe Trinh

Dr Philippe Trinh

Darby Fellow in Applied Mathematics, Tutor in Mathematics

Academic and Personal Profile

Before coming to Lincoln College in 2012, I was a research associate and lecturer (2010-2012) joint between Princeton University's Program in Computational and Applied Mathematics (PACM) and the Complex Fluids Group of the Department of Mechanical and Aerospace Engineering.

I completed my doctorate as a Clarendon scholar from 2007-2010 with the Oxford Centre for Industrial and Applied Mathematics, and as a graduate student with Balliol College. Before that, I did my undergraduate and Master's degrees in Canada. I grew up in Ottawa, Ontario and, like many Canadians, like to recount my thrilling fight to survive during the Great Ice Storm of 1998.

Research Profile

My research interests are rather frenetic at times, but my current muses include:

  • Classical hydrodynamics: free-surface flows; gravity-capillary waves; wave-structure interactions; ship hydrodynamics; Korteweg-de Vries-type equations and nonlinear waves
  • Low Reynolds number flows: theory and modeling of viscosity and surface-tension dominated flows, including thin film or Hele-Shaw-type problems; the study of fluid instabilities (e.g. gravity-driven dripping of thin films)
  • Elasticity and solid mechanics: coupling fluid mechanics with solid mechanics; understanding fluid-structure interactions between free-surfaces and elastic membranes (e.g. contact lenses), theory and modeling of tissue and tumour growth.
  • Formation and dynamics of biological patterns: studying the dynamics of patterns in reaction-diffusion problems
  • Singular perturbation theory: exponential asymptotics and asymptotics beyond-all-orders; singularity formation in fluid and solid phenomena (e.g. rupturing of thin films and solids, moving contact line problems, etc.)
  • Numerical methods: notably boundary integral methods for free-surface flows

 



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