Homogenization and hyperbolicity

Luc Tartar

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 25, Issue: 3-4, page 785-805
  • ISSN: 0391-173X

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Tartar, Luc. "Homogenization and hyperbolicity." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.3-4 (1997): 785-805. <http://eudml.org/doc/84315>.

@article{Tartar1997,
author = {Tartar, Luc},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {homogenization; -convergence; wave equation; elasticity; Maxwell's system; effective coefficients},
language = {eng},
number = {3-4},
pages = {785-805},
publisher = {Scuola normale superiore},
title = {Homogenization and hyperbolicity},
url = {http://eudml.org/doc/84315},
volume = {25},
year = {1997},
}

TY - JOUR
AU - Tartar, Luc
TI - Homogenization and hyperbolicity
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 25
IS - 3-4
SP - 785
EP - 805
LA - eng
KW - homogenization; -convergence; wave equation; elasticity; Maxwell's system; effective coefficients
UR - http://eudml.org/doc/84315
ER -

References

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  1. [Ba] J.M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rat. Mech. Anal.63 (1977), 337-403. Zbl0368.73040MR475169
  2. [Be] D.J. Bergman, Bulk physical properties of composite media, "Les Méthodes de l'Homogénéisation: théorie et Applications en Physique". Ecole d'Eté d'Analyse Numérique C.E.A.-E.D.F.-INRIA (Bréau-sans-Nappe, 1983), 1-128, Collection de la Direction des Etudes et Recherches d'Electricité de France 57, Eyrolles, Paris, 1985. MR844870
  3. [DG&Sp] E. De Giorgi - S. Spagnolo, Sulla convergenza degli integrali dell'energia per operatori ellitici del 2° ordine, Boll. Un. Mat. Ital.8 (1973), 391-411. Zbl0274.35002MR348255
  4. [Du&Li] G. Duvaut - J.-L. Lions, "Les Inéquations on Mécanique et en Physique ", Paris, Dunod, 1972. Zbl0298.73001MR464857
  5. [Gr] R.B. Griffiths, Is Theology a Science?, September 1980, J. American Scientific Affiliation. 
  6. [Gu] S. Gutiérrez, "Laminations in Linearized Elasticity and a Lusin type Theorem for Sobolev Spaces", PhD thesis, Carnegie-Mellon University, May 1997. 
  7. [MC] W.H. Mc Connell, On the Approximation of Elliptic Operators with Discontinuous Coefficients, Ann. Scuola Norm. Sup. Pisa Cl. Sci.3 (1976), 121-137. Zbl0339.35006MR406020
  8. [Sp1] S. Spagnolo, Sul limite delle soluzioni di problemi di Cauchy relativi all' equazione del calore, Ann. Scuola Norm. Sup. Pisa21 (1967), 657-699. Zbl0153.42103MR225015
  9. [Sp2] S. Spagnolo, Sulla convergenza di soluzioni di equazioni paraboliche ed ellitiche, Ann. Scuola Norm. Sup. Pisa Cl. Sci.22 (1968), 571-597. Zbl0174.42101MR240443
  10. [Sv] V Šverák, Rank-one convexity does not imply quasiconvexity, Proc. Roy. Soc. Edinburgh120 (1992), 185-189. Zbl0777.49015MR1149994
  11. [Ta1] L. Tartar, Convergence d'opérateurs différentiels, in: "Atti Giorni Analisi Convessa e Applicazioni" (Roma, 1974), 101-104. 
  12. [Ta2] L. Tartar, Nonlocal effects induced by homogenization, "Partial differential equations and the calculus of variations", Vol. II, 925-938. Progr. Nonlinear Differential Equations Appl., 2, BirkhaüserBoston, Boston, MA., 1989. (Book dedicated to Ennio De Giorgi). Zbl0682.35028MR1034036
  13. [Ta3] L. Tartar, Nonlinear constitutive relations and homogenization, "Contemporary developments in continuum mechanics and partial differential equations" (Proc. Intemat. Sympos., Inst. Mat., Univ. Fed. Rio de Janeiro, Rio de Janeiro, 1977), pp. 472-484. North-Holland Math. Studies, 30, North-Holland, Amsterdam, 1978. Zbl0399.73006MR519656
  14. [Ta4] L. Tartar, Equations hyperboliques non linéaires, Séminaire Goulaouic-Schwartz (1977/1978), Exp. No. 18, 18 pp., Ecole Polytech., Palaiseau, 1978. Zbl0385.35044MR504147
  15. [Ta5] L. Tartar, Remarks on homogenization, "Homogenization and effective moduli of materials and media" (Minneapolis, Minn., 1984/1985), 228-246, IMA Vol. Math. Appl., 1, Springer, New York-Berlin, 1986. Zbl0652.35012MR859418
  16. [Ta6] L. Tartar, H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations, Proc. Royal Soc. EdinburghA115 (1990), 193-230. Zbl0774.35008MR1069518
  17. [Ta7] L. Tartar, Approximation of H-measures, Conference in honour of Roland Glowinski (Tours, May 1997); text finished too late to be included in the proceedings. 

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