Global existence for wave maps with torsion
数学物理
2007-05-23 v1 偏微分方程分析
math.MP
摘要
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.
引用
@article{arxiv.math-ph/0007032,
title = {Global existence for wave maps with torsion},
author = {Stephen C. Anco and James Isenberg},
journal= {arXiv preprint arXiv:math-ph/0007032},
year = {2007}
}
备注
37 pages, LaTex, no figures