%0 Journal Article
%T Approximation of semi-groups in the sense of Trotter and asymptotic mathematical modeling in physics of continuous media
%+ Mathématiques et Modélisations en Mécanique (M3)
%+ Mahidol University [Bangkok]
%A Licht, Christian
%A Weller, Thibaut
%< avec comité de lecture
%@ 1937-1632
%J Discrete and Continuous Dynamical Systems - Series S
%I American Institute of Mathematical Sciences
%V 12
%N 6
%P 1709-1741
%8 2019-10
%D 2019
%R 10.3934/dcdss.2019114
%K Asymptotic mathematical modeling
%K approximation of semi-groups in the sense of Trotter
%K transient problems
%K homogenization
%K reduction of dimension
%K Hilbert spaces of possible states with finite energy
%Z Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]Journal articles
%X We derive several models in Physics of continuous media using Trotter theory of convergence of semi-groups of operators acting on variable spaces.
%G English
%2 https://hal.science/hal-01951701/document
%2 https://hal.science/hal-01951701/file/Art_Licht_Weller_DCDS_2019.pdf
%L hal-01951701
%U https://hal.science/hal-01951701
%~ CNRS
%~ LMGC
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021