Near Soliton Evolution for Equivariant Schrodinger Maps in Two Spatial Dimensions
Near Soliton Evolution for Equivariant Schrodinger Maps in Two Spatial Dimensions by Ioan Bejenaru
English | 2014 | ISBN: 0821892150 | 108 Pages | PDF | 1002.90 KB
English | 2014 | ISBN: 0821892150 | 108 Pages | PDF | 1002.90 KB
The authors consider the Schrodinger Map equation in 2 1 dimensions, with values into S�. This admits a lowest energy steady state Q , namely the stereographic projection, which extends to a two dimensional family of steady states by scaling and rotation. The authors prove that Q is unstable in the energy space ?'. However, in the process of proving this they also show that within the equivariant class Q is stable in a stronger topology XC?'.