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

Christian Licht; Thibaut Weller

doi:10.3934/dcdss.2019114

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2019, Volume 12, Issue 6: 1709-1741. Doi: 10.3934/dcdss.2019114

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

Christian Licht^1,2, , and
Thibaut Weller^1,

1.
LMGC, Univ Montpellier, CNRS, Montpellier, France
2.
Dept. Maths, Mahidol University, Bangkok, Thailand

* Corresponding author: Christian Licht
* Corresponding author: Christian Licht

Received: November 30, 2017

Revised: February 28, 2018

Published: April 2019

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

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