bevictor伟德官网邀请专家申请表
报告人 | 单位 | McMaster University数学系 | |
报告题目 | Inverse scattering for derivative NLS and massive Thirring model | ||
报告时间 | 2018年5月21日下午14：00-17：00 | 地点 | bevictor伟德官网第一报告厅 |
邀请人 | 陈金兵 | ||
报告摘要 | The massive Thirring model in physical coordinates is an integrable system of Dirac type that process Dirac solitons as saddle points of the energy function. By using the local well-posedness in spaces of squared integrable functions, conservation of the charge functional, and the auto-Backlund transformation, we have proved orbital stability of Dirac solitons. We also developed the inverse scattering transform and obtained the long-time scattering asymptotics for the massive Thirring model in physical coordinates. These results rely on the recent development in the inverse scattering transform for the Kaup-Newell spectral problem. The reconstruction of the potential is performed separately in the limits $\lambda \to 0$ and $\lambda \to \infty$, where $\lambda$ is the spectral parameter of the Kaup-Newell spectral problem. | ||
报告人简介 | Dmitry Pelinovsky 教授中文简介： Dr. Dmitry Pelinovsky, McMaster University数学系教授，主要从事analysis of PDE, integrable systems and solitons, numerical computations等方向的研究，已在国际期刊：Communications in pure and applied Mathematics, SIAM Journal of Mathematical Analysis, Communications in Mathematical Physics, Communications in PDEs, Physics Reviewer Letters, Review in Mathematical Physics, AMS Contemporary Mathematics, Annales Henri Poincare, Inverse Problems, Nonlinearity, Studies in Applied Mathematics, Physica D等杂志发表200多篇SCI学术论文(H-index 34)，并出版三本专著，1, Localization in Periodic potential; 2, Numerical Mathematics; 3, Nonlinear Physical System.目前还担任Studies in Applied Mathematics和Physica D编委，曾担任Physica Review A, Advance in Mathematical Physics 等多个期刊的编委。 | ||
