The General Theory of Homogenization: A Personalized Introduction: 7 (Lecture Notes of the Unione Matematica Italiana, 7) - Softcover

Tartar, Luc

Softcover

ISBN 10: 3642051944 ISBN 13: 9783642051944

Publisher: Springer, 2009

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2009
• Language: English
• ISBN 10: 3642051944
• ISBN 13: 9783642051944
• Binding: Paperback
• Number of pages: 493