1，题目：Invariant tori in contact Hamiltonian and reversible systems
报告人：胡盛清香港中文大学(深圳)。
时间：2021/05/07 14:00-15:00
会议 ID：432 622 206
会议链接：https://meeting.tencent.com/s/dM0FYfu3ef5O
摘要：In this talk, using KAM iterative method we firstly discuss the existence of invariant tori in contact Hamiltonian system, which is a non-conservative system. Then, we discuss a class of almost periodically forced reversible systems and prove the persistence of invariant tori for these systems. As an application, we obtain the almost periodic solutions and the boundedness of the solutions for a second-order nonlinear differential equations.
2，题目：线性波动方程解的Sobolev范数的稳定性
报告人：孙英特扬州大学
时间：2021/05/07 15:00-16:00
会议 ID：432 622 206
会议链接：https://meeting.tencent.com/s/dM0FYfu3ef5O
摘要：本报告中，我们将主要考虑阶数为1阶的拟周期扰动下的线性波动程，并证其解的Sobolev范数为全局稳定的。该证明主要是通过借助于拟微分算子的象征演算技术和波动方程的KAM约化理论所得到。
