Download or read book Near Soliton Evolution for Equivariant Schrodinger Maps in Two Spatial Dimensions written by Ioan Bejenaru and published by . This book was released on 2014-10-03 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider the Schrodinger Map equation in 2+1 dimensions, with values into Si 1/2. 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?'."