Thông báo mời tham dự buổi sinh hoạt khoa học khoa Toán - Thống kê. Chủ đề: "Decay for the nonlinear KdV equations at critical lengths"
24/09/2023
Khoa Toán - Thống kê trân trọng kính mời quý thầy cô tham dự seminar tháng 10/2023 của khoa Toán - Thống kê. Thông tin cụ thể như sau:
This talk is on the decay for the nonlinear KdV equation in a bounded interval equipped with the Dirichlet boundary condition and the Neumann boundary condition on the right. It is well-known from the work of Lionel Rosier in 1997 that there is a set of critical lengths for which the solutions of the linearized system conserve the L2-norm if their initial data belong to a finite dimensional space. In this talk, I will present my recent results on the upper bound of the rate decay of the solutions of the nonlinear KdV system for a class of critical lengths and the lower bound of the rate decay of the solutions of the nonlinear KdV system for all critical lengths with small initial data. The analysis is inspired by the power series expansion approach and involves the theory of quasi-periodic functions.
Kính mời quý thầy/cô/anh/chị quan tâm tham dự.
Rất mong được đón tiếp.
Trân trọng,
Trần Thị Tuấn Anh