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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Xuất bản mới
La Văn Thịnh, Hoàng Thế Tuấn, On the Mittag–Leffler Stability of Mixed-Order Fractional Homogeneous Cooperative Delay Systems, Vietnam Journal of Mathematics, Volume 54, pages 773–789 (2026)
Đỗ Minh Thắng, Sonja Hannibal, Arnulf Jentzen, Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation, Journal of Mathematical Analysis and Applications, 564 (2026) 130724
Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5