David Lafontaine

Research Associate
Department of Mathematical Sciences, University of Bath
Curriculum vitae
Contact: d.lafontaine(at)bath.ac.uk
Office: 4W 3.35

About me

I am a postdoctoral researcher at the University of Bath, where I am working with Euan Spence. Previously, I did my Ph.D thesis in the University of Nice under the supervision of Fabrice Planchon, which I defended the 25th September 2018 - you can find my manuscript here.

Research interests

I study the qualitative properties of wave equations arising from physics. In particular, I am interested in the long-time asymptotics and dispersive properties of linear and non-linear Schrödinger and wave equations in domains with boundaries and in non homogeneous settings, and in the behaviour of solutions of Helmholtz equation in exterior domains. A common theme in my research is the study of the effect of trapped trajectories in such problems.

Preprints and papers

At the interface between numerical analysis and semi-classical analysis
Non-linear dispersive equations
Linear wave equations