论文题目:Geometric Schrodinger-Airy Flows on Kahler Manifolds
论文作者:Xiaowei Sun, Youde Wang(王友德)
论文摘要:We define a class of geometric flows on a complete K\"ahler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV equations, derivative nonlinear Schr\"odinger equations etc. Furthermore, we consider the existence for these flows from S1 into a complete K\"ahler manifold and prove some local and global existence results.
所属学科:微分几何
所属实验室或研究中心:数学研究所
全文链接: http://arxiv.org/abs/1203.0549