Título: General Theory Of Homogenization, The. | ||
Autor: Tartar Luc | Precio: $1152.00 | |
Editorial: Springer Publishing Company | Año: 2010 | |
Tema: Matematicas, Teorias, Textos | Edición: 1ª | |
Sinopsis | ISBN: 9783642051944 | |
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 François 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 Gérard, and others yet to be discovered. |