The General Theory Of Homogenization at Meripustak

The General Theory Of Homogenization

Books from same Author: TARTAR

Books from same Publisher: SPRINGER

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  • General Information  
    Author(s)TARTAR
    PublisherSPRINGER
    ISBN9783642051944
    Pages471
    BindingSoftbound
    LanguageEnglish
    Publish YearJanuary 2010

    Description

    SPRINGER The General Theory Of Homogenization by TARTAR

    Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of Francois Murat and the author, and some responsible for the appearance of nonlocal effects, which many theories in continuum mechanics or physics guessed wrongly. For a better understanding of 20th century science, new mathematical tools must be introduced, like the author's H-measures, variants by Patrick Gerard, and others yet to be discovered.