Approximation of semi-groups in the sense of Trotter and asymptotic mathematical modeling in physics of continuous media

Journal article

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Discrete and Continuous Dynamical Systems - Series S, Vol.12(6), pp.1709-1741

10/2019

Abstract

Asymptotic mathematical modeling

approximation of semi-groups in the sense of Trotter

transient problems

homogenization

reduction of dimension

Hilbert spaces of possible states with finite energy

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

We derive several models in Physics of continuous media using Trotter theory of convergence of semi-groups of operators acting on variable spaces.

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Title: Approximation of semi-groups in the sense of Trotter and asymptotic mathematical modeling in physics of continuous media
Creators - without role: Christian Licht - Laboratoire de Mécanique, Modélisation & Procédés Propres
Thibaut Weller - Laboratoire de Mécanique, Modélisation & Procédés Propres
Publication Details: Discrete and Continuous Dynamical Systems - Series S, Vol.12(6), pp.1709-1741
Identifiers: 9944899709311
Academic Unit: Laboratoire de Mécanique et Génie Civil - LMGC
Language: English
Resource Type: Journal article
Local Fields: hal-01951701