Global existence for wave maps with torsion |
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| Authors: | Stephen C Anco James Isenberg |
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| Affiliation: | 1. Department of Mathematics , Brock University, St Catharines, ON L2S 3A1, Canada E-mail: sanco@brocku.ca;2. Department of Mathematics and Institute of Theoretical Science , University of Oregon , Eugene , OR , 97403-5203 , USA E-mail: jim@newton.uoregon.edu |
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| Abstract: | Wave maps (i.e. nonlinear sigma models) with torsion are considered in 2+1 dimensions. Global existence of smooth solutions to the Cauchy problem is proven for certain reductions under a translation group action: invariant wave maps into general targets, and equivariant wave maps into Lie group targets. In the case of Lie group targets (i.e. chiral models), a geometrical characterization of invariant and equivariant wave maps is given in terms of a formulation using frames |
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