The blowup behavior of the biharmonic map heat flow in four dimensions
Moser, R., 2005. The blowup behavior of the biharmonic map heat flow in four dimensions. International Mathematics Research Papers (IMRP), 2005 (7), pp. 351-402.
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We study the (intrinsic) biharmonic map heat flow on a four-dimensional domain into a compact Riemannian manifold. We examine its behavior as the first finite-time singularity is approached. At each singular point, we find either a harmonic sphere or a biharmonic map bubbling-off. A further description of the singular set is also given. The proofs rely to a large extent on a blowup analysis of sequences of maps with uniformly bounded energy.
|Departments||Faculty of Science > Mathematical Sciences|
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