Olivier Pinaud Home Page, bienvenue !
Multiscale analysis, derivation (rigorous when possible) and numerical simulation of asymptotic models for high frequency wave propagation in random media (e.g. transport and diffusion)
Applications to inverse problems and imaging (e.g. localization of inclusions in clutter)
Stochastic partial differential equations, limit theorems (existence/regularity of solutions, asymptotics)
Quantum hydrodynamics and the moment problem
Asymptotic analysis of singularly perturbed non-linear systems
Derivation of multiscale numerical schemes
Application to semiconductor modeling
Support from NSF CAREER Grant DMS-1452349 greatly acknowledged.