The General Theory of Homogenization: A Personalized by Luc Tartar

By Luc Tartar

Homogenization isn't approximately periodicity, or Gamma-convergence, yet approximately realizing which powerful equations to exploit at macroscopic point, realizing which partial differential equations govern mesoscopic degrees, with no utilizing chances (which ruin actual reality); in its place, one makes use of a variety of topologies of susceptible variety, the G-convergence of Sergio Spagnolo, the H-convergence of François Murat and the writer, and a few liable for the looks of nonlocal results, which many theories in continuum mechanics or physics guessed wrongly.

For a greater figuring out of twentieth century technology, new mathematical instruments needs to be brought, just like the author’s H-measures, versions via Patrick Gérard, and others but to be stumbled on.

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