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BLOW-UP OF THE NONEQUIVARIANT ($2+1$)-DIMENSIONAL WAVE MAP

Published online by Cambridge University Press:  18 March 2014

JÖRG FRAUENDIENER*
Affiliation:
Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9054, New Zealand email [email protected]
RALF PETER
Affiliation:
Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9054, New Zealand email [email protected]
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Abstract

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It has been known for a long time that the equivariant $2+1$ wave map into the $2$-sphere blows up if the initial data are chosen appropriately. Here, we present numerical evidence for the stability of the blow-up phenomenon under explicit violations of equivariance.

Type
Research Article
Copyright
Copyright © 2014 Australian Mathematical Society 

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