Analysis and Applied Mathematics Seminar: The Joy of Small Parameters, by Susan Friedlander
October 19, 2020
4:00 PM - 4:50 PM
CalendarDownload iCal File
Susan Friedlander (University of Southern California): The Joy of Small Parameters
Many equations that model fluid behavior are derived from systems that encompass multiple physical forces. When the equations are written in non dimensional form
appropriate to the physics of the situation, the resulting PDEs often involve multiple non-dimensional parameters. Frequently some of these parameters are very small and they
enter into the analysis in different ways. We will discuss one such system which has been proposed as a model for magnetostrophic turbulence and describe results that can be
obtained in several different small parameter limits. In this talk we will concentrate on a forced drift-diffusion equation for the temperature where the fluid viscosity enters via the
drift velocity. We examine the convergence of solutions in the limit as the viscosity goes to zero. We introduce a natural notion of vanishing viscosity weak solutions and prove the existence of a compact global attractor for the critical drift-diffusion equation.
This is joint work with Anthony Suen.
Oct 21, 2020
Oct 21, 2020