Analysis of nonlinear dynamics with three time scales

Friday, March 22, 2019 - 11:00am to 12:00pm
Location: 
WXLR A104

Speaker

Bin Cheng
Senior Lecturer
Department of Mathematics
University of Surrey (UK)

Abstract

A PDE/ODE system can evolve in 3 time scales when the fast scales are associated with 2 small parameters that tend to zero at different rates. We investigate the limiting dynamics when the fast dynamics is generated by 2 skew-seft-adjoint operators and the initial time derivative is uniformly bounded regardless of the small parameters. To find the subspace that the limiting dynamics resides, we rely on matrix perturbation theory a la Kato (1982, Springer-Verlag).

share: