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Analysis Seminar – Joe Renzi, University of Alabama

February 25, 2019 @ 11:00 am - 12:00 pm

Title: Two-sided Mullins-Sekerka flow does not preserve convexity, after Uwe F. Mayer

 

Abstract: The (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which was originally proposed as a model for phase transitions of materials of negligible specific heat. Under this evolution the propagating interfaces maintain the enclosed volume while the area of the interfaces decreases. We will show by means of an example that the Mullins-Sekerka flow does not preserve convexity in two space dimensions, where we consider both the Mullins-Sekerka model on a bounded domain, and the Mullins-Sekerka model defined on the whole plane.

Details

Date:
February 25, 2019
Time:
11:00 am - 12:00 pm
Event Categories:
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Venue

346 Gordon Palmer Hall
505 Hackberry Lane
Tuscaloosa, AL 35487 United States
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