Analysis and Applied Mathematics Seminar
Gung-Min Gie
University of Louisville
Singular perturbations in fluid mechanics: Analysis and computations
Abstract: Singular perturbations occur when a small coefficient
affects the highest order derivatives in a system of
partial differential equations. From the physical point
of view, singular perturbations generate thin layers near
the boundary of a domain, called boundary layers, where
many important physical phenomena occur. In this talk,
we discuss some recent results on the viscous boundary
layer analysis and their applications in implementing
effective numerical schemes including the Physics
Informed Neural Networks (PINNs).
Monday April 3, 2023 at 4:00 PM in 1227 SEO