Compensated compactness and one-dimensional elastodynamics

Gustaf Gripenberg

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1995)

  • Volume: 22, Issue: 2, page 227-240
  • ISSN: 0391-173X

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Gripenberg, Gustaf. "Compensated compactness and one-dimensional elastodynamics." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.2 (1995): 227-240. <http://eudml.org/doc/84204>.

@article{Gripenberg1995,
author = {Gripenberg, Gustaf},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {one-dimensional elastodynamics; compensated compactness},
language = {eng},
number = {2},
pages = {227-240},
publisher = {Scuola normale superiore},
title = {Compensated compactness and one-dimensional elastodynamics},
url = {http://eudml.org/doc/84204},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Gripenberg, Gustaf
TI - Compensated compactness and one-dimensional elastodynamics
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1995
PB - Scuola normale superiore
VL - 22
IS - 2
SP - 227
EP - 240
LA - eng
KW - one-dimensional elastodynamics; compensated compactness
UR - http://eudml.org/doc/84204
ER -

References

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  1. [1] C.M. Dafermos, Estimates for conservation laws with little viscosity, SIAM J. Math. Anal.18 (1987), 409-421. Zbl0655.35055MR876280
  2. [2] R.J. Diperna, Convergence of approximate solutions to conservation laws, Arch. Rational Mech. Anal.82 (1983), 27-70. Zbl0519.35054MR684413
  3. [3] L.C. Evans, Weak convergence methods for nonlinear partial differential equations. CBMS Regional Conf. Ser. in Math. 74, American Mathematical Society, Providence RI, 1990. Zbl0698.35004MR1034481
  4. [4] J.M. Greenberg - M. Rascle, Time-periodic solutions to systems of conservation laws, Arch. Rational Mech. Anal.115 (1991), 395-407. Zbl0769.35037MR1120854
  5. [5] P. Lin, Young measures and an application of compensated compactness to one-dimensional nonlinear elastodynamics. Trans. Amer. Math. Soc.329 (1992), 377-413. Zbl0761.35061MR1049615
  6. [6] C.S. Morawetz, An alternative proof of DiPerna's theorem. Comm. Pure Appl. Math.44 (1991), 1081-1090. Zbl0763.35056MR1127051
  7. [7] F. Murat, Compacite par compensation. Ann. Scuola Norm. Sup. Pisa Cl. Sci.5 (1978), 489-507. Zbl0399.46022MR506997
  8. [8] J.A. Nohel - R.C. Rogers - A.E. Tzavares, Weak solutions for a nonlinear system in viscoelasticity. Comm. Partial Differential Equations13 (1988), 97-127. Zbl0635.73047MR914816
  9. [9] W. Rudin, Functional Analysis. McGraw-Hill, New York, 1973. Zbl0253.46001MR365062
  10. [10] D. Serre, La compacité par compensation pour les systèmes hyperboliques non linéaires de deux équations a une dimension d'espace. J. Math. Pures Appl.65 (1986), 423-468. Zbl0601.35070MR881690
  11. [11] L. Tartar, Équations hyperboliques non linéaires. Séminaire Goulaouic-Schwartz (1977/1978), Ecole Polytch., Palaiseau, 1978. Zbl0385.35044MR504147
  12. [12] L. Tartar, Compensated campactness and applications to partial differential equations. In: "Nonlinear Analysis and Mechanics", Herriot- Watt Symposium IV (R.J. Knops, ed.), Research Notes in Mathematics, 4, Pitman Press, Edinburgh, 1979, pp. 136-192. Zbl0437.35004MR584398

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