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Global existence for wave maps with torsion

Stephen C. Anco·James Isenberg
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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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Stephen C. Anco, James Isenberg. 2000-07-25. Global existence for wave maps with torsion. https://arxiv.org/abs/math-ph/0007032

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