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PDE Seminar

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.

Thursday, September 30 at 2:50pm to 4:00pm

Virtual Event
Event Type

Lectures & Presentations

Topic

Science

Audience

General Public

Department
Mathematics
Hashtag

#UTK-PDE

Contact Name

Tuoc Phan

Contact Email

phan@math.utk.edu

Contact Phone

8653327817

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