COMPLEXITIES of a SIMPLE(-LOOKING) ODE

When
Start: 12/15/2014 - 1:15pm
End  : 12/15/2014 - 2:15pm

Category
Applied Math Seminar

Speaker
Ellis Cumberbatch (CGU)

Abstract

The ODE studied (first-order Abel of second kind) is part of a solution approach to the PDEs governing the flow of electrons in a double gate transistor. The ODE has exact solutions that are quite complicated. The application requires simple, accurate formulae for the current flow, and to this end the matched asymptotic expansion technique is used. This technique involves approximations in various regions. The full ODE cannot be avoided for the solution in one layer, however. So the exact solutions were explored and they show surprising behaviour. Profs M. Chugunova and S. L. Smith (UCSD) are co-authors.

Where
CGU Burkle 24