Calendar
Sign Up

Speaker: Dr. Farhan Abedin (University of Utah)

Titlte: Hele-Shaw Flow and Parabolic Integro-Differential Equations

Abstract: The Hele-Shaw flow is a model for the evolution of an ideal fluid occupying the narrow gap between two parallel plates and subject to an external pressure source. Assuming the fluid interface is given by the graph of a function, it can be shown that this function must solve a
parabolic integro-differential equation of 1st order. I will discuss recent joint work with Russell Schwab (Michigan State University) on the regularization properties of such nonlocal parabolic equations. Ourresults allow us, in certain model scenarios and for short enough times, to conclude improvement-of-regularity for the fluid interface.

Event Details

See Who Is Interested

  • Schmidt, Immanuel Hiroshi
  • Park, Seung-Hyeok

2 people are interested in this event

Calendar Powered by the Localist Community Event Platform © All rights reserved