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Geometric Analysis and Partial Differential Equations Seminar

October 30, 2014 @ 10:30 am - 11:30 pm

Geometric Analysis and Partial Differential Equations Seminar Series at UOW
Speaker

Dr Matthew Cooper (University of New England)

Title

Biharmonic maps and their heat flow

Abstract

Biharmonic maps are natural generalizations of harmonic maps. The fact that the Euler equations are fourth-order (as opposed to second order for harmonic maps) presents a number of analytic challenges. In this talk, I will discuss $O(d)$-equivariant biharmonic maps and their associated heat flow. Among other results, I will present a blowup result for the biharmonic map heat flow from $B^4$ into $S^4$.

Details

Date:
October 30, 2014
Time:
10:30 am - 11:30 pm
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Venue

Building 39C Room 174
University of Wollongong
Wollongong, 2500
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