Dr. Philippe H. Trinh
Darby Fellow in Applied Mathematics
Lincoln College, University of Oxford
& OCIAM, Mathematical Institute
Oxford, Oxfordshire, UK
Spot patterns on the surface of the sphere: January 25, 2016
I'm happy to announce the publication of my paper in the journal Nonlinearity with Michael J. Ward (University of British Columbia) on localized spot patterns on the surface of the sphere. In this paper, we develop the detailed asymptotics that describe the slow dynamics of spot patterns modelled by a system of reaction-diffusion equations. The interesting twist is that when the patterns occur on a surface of non-zero curvature, the methodology must account for higher-order terms due to the changing geometry. It is a wonderful paper with some beautiful mathematics and beautiful pictures.
Fluids and elasticity in France: June 22-24 2015
I'll be attending the Fluid and Elasticity 2015 conference, from June 22-24 in Biarritz, France, and presenting some joint work with Stephen K. Wilson (Strathclyde University) and Howard A. Stone (Princeton University).
Update for Part B students: June 2015
I have several interesting Part C dissertation projects that touch upon many areas in applied mathematics, and include a mixture of theory and computation. If you're a Part B student looking for interesting projects, please feel free to send me an email and let me know of your interests.
Update: May 2015
I'm happy to announce the publication of two new papers. The first paper is published in Nonlinearity and is on the topic of developing exponential asymptotics for problems with coalescing singularities (motivated by the study of ship waves, above left) with Jonathan Chapman (Oxford). The second paper, published in the Journal of Fluid Mechanics, and collaboration with Weiqing Ren (National University of Singapore) and Weinan E (Princeton) seeks to explain the importance of distinguished limits in the classical contact line problem. Both papers can be downloaded from the research section.