Global Nonlinear Stability of Geodesic Solutions of Evolutionary Faddeev Model

Abstract

In this paper, for evolutionary Faddeev model corresponding to maps from the Minkowski space ${\mathbb{R}}^{1+n}$ to the unit sphere ${\mathbb{S}}^2$, we show the global nonlinear stability of geodesic solutions, which are a kind of nontrivial and large solutions.

arXiv comment31 pages. Comments are welcome

References in corpus (4)

• Hopf Solitons on S^3 and R^3
• Monopoles and Knots in Skyrme Theory
• Uniqueness and stability of traveling waves to the time-like extremal hypersurface in Minkowski space
• Large-Data Global Well-Posedness for the (1 + 2)-Dimensional Equivariant Faddeev Model