Vincent Duchêne (Université de Rennes)
Biography
TITLE: Three-scale singular limits
ABSTRACT: I will discuss a class of problems emerging from a "hyperbolization" strategy for the numerical approximation of weakly dispersive PDEs.
These singular problems feature three scales in the sense that the stiff operator is a combination of a component homogeneous of order 1 and a component homogeneous of order 0, each of them being associated with distinct large parameters.
I will insist on features that depart from the standard two-scale theory, and in particular on the possible dynamical emergence of a new spatial scale.
It is a joint work in progress with Arnaud Duran and Khawla Msheik.
