題目：Energy transfer and Generalized Fermi's Golden Rule in Hamiltonian nonlinear Klein-Gordon equations
報告人：雷震（複旦大學數學科學學院教授）
邀請人：沈曉芹（理學院數學係）
報告時間：3月2日10:00-12:00
報告地點：理學院會議室9-320
摘要: More than 20 years ago, Soffer-Weinstein considered a class of nonlinear Klein-Gordon equations with nice potentials. For the first time they proved that spatially localized and time-periodic solutions of the linear problem are destroyed by generic nonlinear Hamiltonian perturbations via slow radiation of energy to infinity, via energy transfer from the discrete to continuum modes, under the condition that the discrete modes are close to the continuous spectral modes. Since then, a long-standing open question is to study the corresponding problem with small eigenvalues, which was also raised in the paper of Soffer-Weinstein 1999. In this talk, we will report our recent result on this problem which settles the above open question. This is a joint work with my students Jie Liu and Zhaojie Yang.
報告人簡介： 雷震， 複旦大學數學科學學院教授、中國工業與應用數學學會副理事長，國家傑出青年科學基金獲得者、國家級人才計劃入選者。長期在流體力學領域從事前沿基礎理論研究，提出了“強零條件”的概念，發現了不可壓流體的非線性內蘊結構並獨自建立了不可壓彈性與粘彈方程組解的整體穩定性理論，在不可壓NS方程組等領域有傑出貢獻,獲得了國內外同行的高度評價。2020年獲國家自然科學獎二等獎(排名第1)，2022年榮獲第四屆“科學探索獎”、上海市科技精英等榮譽。
