Regular solutions for multiplicative stochastic Landau-Lifshitz-Gilbert equation and blow-up phenomena

查看全文 作　　者：PU XueKe 1, & GUO BoLing 2 1 College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China;2 Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China

出　　处：《Science China Mathematics》索引2010年第53卷第12期,共16页

基　　金：supported by National Natural Science Foundation of China (Grant No. 11001285) 摘　　要：The two-dimensional Landau-Lifshitz-Gilbert equation of motion for a classical magnetic moment perturbed by a multiplicative noise is considered. This equation is highly nonlinear in nature and, for this reason, many mathematical results in stochastic partial differential equations (SPDEs) cannot be applied. The aim of this work is to introduce the difference method to handle SPDEs and prove the existence of regular martingale solutions in dimension two. Some blow-up phenomena are presented, which are drastically different from the deterministic case. Finally, to yield correct thermal-equilibrium properties, Stratonovitch integral is used instead of Ito integral. 关键词：STOCHASTIC Landau-Lifshitz-Gilbert equation REGULAR solution difference method BLOW up

相关文献

参考文献（32）
引证文献（0）
耦合文献（3）

参考文献(32)

耦合文献(3)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

Regular solutions for multiplicative stochastic Landau-Lifshitz-Gilbert equation and blow-up phenomena

参考文献(32)

耦合文献(3)

用户提示