Kế hoạch seminar Bộ môn Giải tích tháng 01/2018

Tháng 01/2018, bộ môn Giải tích tổ chức seminar với 04 báo cáo

1. Ngày 04/01/2018

Báo cáo viên: Nguyễn Hữu Học

Tên báo cáo:  Exponential Stability for singular systems with interval time-varying delays (cont.)

Tóm tắt báo cáo: This talk deals with the problem of exponential stabilization analysis for singular systems with interval time-varying delays. By constructing a set of improved Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, new delay-dependent conditions are established in terms of linear matrix inequalities (LMIs) which guarantee that the system is regular, impulse-free and exponentially stabilization. Numerical examples are given to show the effectiveness of the obtained results!

2. Ngày 11/01/2018

Báo cáo viên: Nguyễn Tiến Đà

Tên báo cáo: The existence of invariant measure for stochastic 2d-hydrodynamical type system driven by degenerate white noise with any boundary conditions.

Tóm tắt báo cáo: In this talk we deal with the 2D-hydrodynamical type equation perturbed by Ito noise which is degenerate. Existence and uniqueness of invariant measure for this equation is obtained. The main tool to get these results is by applying the Asymptotic Strong Feller method which is introduced by M. Hairer and J. Mattingly.

3. Ngày 18/01/2018

Báo cáo viên: Lê Trần Tình

Tên báo cáo: Stackelberg-Nash null controllability for a class of nonlocal parabolic equations

Tóm tắt báo cáo: This talk is addressed to study a null controllability problem with  the application of Stackelberg-Nash strategy to the control of nonlocal parabolic equations. We will act on the system through a hierarchy controls. We have one control, the leader, that is responsible for the null controllability property and have two another controls, called the followers, which give a Nash equilibrium for two cost functionals. We transform the null controllability problem of the linearized system with the application of Stackelberg-Nash strategies into a suitable null controllability of an equivalent linear problem. Using Carleman inequalities and observability estimates, we solve the equivalent problem. Then, by a fixed-point method, we prove the main result.

4. Ngày 25/01/2018

Báo cáo viên: Lê Anh Minh

Tên báo cáo: Ergodicity for semilinear stochastic PDEs

Tóm tắt báo cáo: In this talk, we present the ergodicity for semilinear parabolic stochastic PDEs with additive noise, which is considered as abstract evolution equations in some Hilbert space.

Thời gian bắt đầu các báo cáo: 8h00

Địa điểm: Phòng bộ môn Giải tích, tầng 3 nhà A1, Cơ sở chính!

Trân trọng kính mời thầy, cô, các bạn đồng nghiệp, học viên, sinh viên quan tâm tới tham dự!