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On The 1+2 Dimensional Landau-Lifshitz Equation | | Qing Ding
; | | Date: |
14 Apr 2005 | | Subject: | Differential Geometry; Mathematical Physics MSC-class: 58E20,35E55 | math.DG math-ph math.MP | | Abstract: | By using the geometric concept of PDEs with prescribed curvature representations, we show that the 1+2 dimensional Landau-Lifshitz equation is gauge equivalent to a 1+2 dimensional nonlinear Schrödinger-type system. From the nonlinear Schrödinger-type system, we construct blowing up $H^3({f R}^2)$-solutions to the 1+2 dimensional Landau-Lifshitz equation, which reveals the blow up phenomenon of the equation. | | Source: | arXiv, math.DG/0504288 | | Services: | Forum | Review | PDF | Favorites | |
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