Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow
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چکیده
منابع مشابه
Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow
The harmonic map heat flow is a model for nematic liquid crystals and also has origins in geometry. We present an analysis of the asymptotic behaviour of singularities arising in this flow for a special class of solutions which generalises a known (radially symmetric) reduction. Specifically, the rate at which blowup occurs is investigated in settings with certain symmetries using the method of...
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We establish various uniformity properties of the harmonic map heat ow, including uniform convergence in L 2 exponentially as t ! 1, and uniqueness of the positions of bubbles at innnite time. Our hypotheses are that the ow is between 2-spheres, and that the limit map and any bubbles share the same orientation.
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2003
ISSN: 0036-1399,1095-712X
DOI: 10.1137/s0036139902408874