Open AccessProlegomena to studies on dynamic materials and their space-time homogenization
Author(s) -
Gérard A. Maugin,
Martine Rousseau
Publication year - 2013
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2013.6.1599
Subject(s) - noether's theorem , homogenization (climate) , conservation law , conservation of energy , classical mechanics , energy–momentum relation , mathematics , calculus (dental) , theoretical physics , physics , mathematical physics , mathematical analysis , lagrangian , thermodynamics , medicine , biodiversity , ecology , dentistry , biology
International audienceThis short conixibution aims at introducing the motion of dynamic materials as initiated by Blekhman and Lurie) and the corresponding allied techniques of homogenization and asymptotic analysis. Main role is played by the canonical conservation laws of energy and wave momentum - the latter most often ignored in the field of continumn mechanics - as follows from an application of the celebrated theorem of E. Noethe