Derivation of von Kármán plate theory in the framework of 3D viscoelastodynamics

Người báo cáo: Giang Trung Hiếu

Thời gian: 9h-10h30 ngày 07/07/2026

Địa điểm: Phòng 302, nhà A5

Abstract: In this talk, we derive the viscoelastodynamics von Kármán plate theory from the nonlinear three-dimensional equations in Kelvin–Voigt rheology. Starting with a fully three-dimensional time-discrete model, we prove that the corresponding solutions converge to their continuous counterparts. Then, using the derivation of nonlinear plate theory by Friesecke, James, and Müller, we perform a dimensional reduction from 3D to 2D on various scales to identify weak solutions of the viscoelastodynamics von Kármán plate equations. This is a joint work with Barbora Benešová and Malte Kampschulte.

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Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)