
Asymptotic methods
Our studies in this field focus on two areas. The first is exponential asymptotics, i.e. how exponentially small terms that are usually neglected, may become dominant and determine the mathematical and physical behaviour of the system under study. The second is multiscale methods: the aim of these methods is to obtain equations for the macroscopic properties of a material or device, that incorporate in a rigorous way, the properties of if microstructure.