On The 1+2 Dimensional Landau-Lifshitz Equation
Ding, Qing
arXiv, 0504288 / Harvested from arXiv
Text on arXiv
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 Schr\"odinger-type system. From the nonlinear Schr\"odinger-type system, we construct blowing up $H^3({\bf R}^2)$-solutions to the 1+2 dimensional Landau-Lifshitz equation, which reveals the blow up phenomenon of the equation.
Publié le : 2005-04-13
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  58E20,35E55 
@article{0504288,
     author = {Ding, Qing},
     title = {On The 1+2 Dimensional Landau-Lifshitz Equation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504288}
}

Ding, Qing. On The 1+2 Dimensional Landau-Lifshitz Equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504288/