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 | Stability of periodic waves in integrable equations | ||
报告时间 | 2018年5月18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 | Many Hamiltonian PDEs are integrable with the inverse scattering transform method. In particular, they exhibit infinitely many conserved quantities, Backlund-Darboux transformations, solvability with the associated linear systems, and other properties. I will show how to use these properties in order to study the stability problems of periodic waves which cannot be solved in general nonintegrable Hamiltonian PDEs. The key examples include modulational stability of periodic waves in the defocusing NLS and the transverse stability of periodic waves in the KP-II equation.
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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。 | ||
