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Geometric Analysis and Partial Differential Equations Seminar
October 30, 2014 @ 10:30 am - 11:30 pm
Dr Matthew Cooper (University of New England)
Biharmonic maps and their heat flow
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 $S^4$.