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

Buch 6 von 26: Lecture Notes of the Unione Matematica Italiana

Tartar, Luc

 
9783642051944: The General Theory of Homogenization: A Personalized Introduction (Lecture Notes of the Unione Matematica Italiana, Band 7)
Softcover
ISBN 10: 3642051944 ISBN 13: 9783642051944
Verlag: Springer, 2009

Inhaltsangabe

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.

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Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3642051944
ISBN 13 
9783642051944
Einband
Taschenbuch
Anzahl der Seiten
493
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