000			01340 a2200205 4500
005			20200203153519.0
008			200128b xxu||||| |||| 00| 0 eng d
020			_a9783642051944
040			_cIIT Kanpur
041			_aeng
082			_a515.35 _bT178g
100			_aTartar, Luc
245			_aThe general theory of homogenization _ba personalized introduction _cLuc Tartar
260			_bSpringer _c2009 _aBerlin
300			_axxii, 470p
440			_aLecture notes of the unione matematica italiana (UMILN7)
520			_aHomogenization 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.
650			_aHomogenization (Differential equations)
942			_cBK
999			_c561190 _d561190