Global Attractors of Generic Reaction Diffusion Equations under Lipschitz Perturbations

Người báo cáo: Nguyễn Ngọc Thạch

 

Thời gian: 9h30 ngày 18 tháng 04 năm 2023

Địa điểm: Phòng 301, nhà A5, Viện Toán học

Tóm tắt: In this talk, we study the Gromov-Hausdorff stability of a family of dynamical systems on their global attractors in an abstract setting. The result is applied to prove that generically the dynamical system induced by a reaction diffusion equation is Gromov-Hausdorff stable on its global attractor under Lipschitz perturbations of the domain and equation. This is a joint work with J. Lee.

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Vo Si Trong Long, Nguyễn Mậu Nam, Jacob Sharkansky, Nguyễn Đông Yên, Qualitative properties of k-center problems, Journal of Optimization Theory and Applications Vol. 207 (2025), Paper 1, 23 pages (SCI-E, Scopus) .
Nguyễn Khoa Sơn, Nguyễn Thị Hồng, Lê Văn Ngọc, Stability conditions for a class of nonlinear timevarying switched systems with delays and sectortype nonlinearities, International Journal of Systems Science, Volume 57(2), (2025), 441-461 (SCI(-E); Scopus) .
Trần Văn Thắng, Lê Xuân Thanh, Đỗ Thị Thùy, A monotonic optimization approach to mixed variational inequality problems, Optimization Letters, Volume 19, pages 1779–1800, (2025) (SCI-E, Scopus) .