Resolution of the Cauchy problem for several hyperbolic systems arising in chemical engineering

E. Canon; F. James

Annales de l'I.H.P. Analyse non linéaire (1992)

  • Volume: 9, Issue: 2, page 219-238
  • ISSN: 0294-1449

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Canon, E., and James, F.. "Resolution of the Cauchy problem for several hyperbolic systems arising in chemical engineering." Annales de l'I.H.P. Analyse non linéaire 9.2 (1992): 219-238. <http://eudml.org/doc/78277>.

@article{Canon1992,
author = {Canon, E., James, F.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {strong Riemann invariants; Temple class; Langmuir isotherm; system of nonlinear conservation laws; global existence result; convergence of the Godunov scheme; existence of an entropic weak solution},
language = {eng},
number = {2},
pages = {219-238},
publisher = {Gauthier-Villars},
title = {Resolution of the Cauchy problem for several hyperbolic systems arising in chemical engineering},
url = {http://eudml.org/doc/78277},
volume = {9},
year = {1992},
}

TY - JOUR
AU - Canon, E.
AU - James, F.
TI - Resolution of the Cauchy problem for several hyperbolic systems arising in chemical engineering
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1992
PB - Gauthier-Villars
VL - 9
IS - 2
SP - 219
EP - 238
LA - eng
KW - strong Riemann invariants; Temple class; Langmuir isotherm; system of nonlinear conservation laws; global existence result; convergence of the Godunov scheme; existence of an entropic weak solution
UR - http://eudml.org/doc/78277
ER -

References

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  1. [C] E. Canon, Étude mathématique de deux modèles issus de la distillation: modèle discret à étages, modèle continu hyperbolique, Thèse, Université de Saint-Étienne, No. 133, 1990. 
  2. [J] F. James, Sur la modélisation mathématique des équilibres diphasiques et des colonnes de chromatographie, Thèse, École Polytechnique, 1990. 
  3. [KNT] E. Kvaalen, L. Neel and D. Tondeur, Directions of Quasi-Static Mass and Energy Transfer Between Phases in Multicomponent Open Systems, Chem. Eng. Sc., Vol. 40, No. 7, 1985, pp. 1191-1204. 
  4. [L] P.D. Lax, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, Conf. BoardMath. Sci., Vol. 11, S.I.A.M., 1973. Zbl0268.35062MR350216
  5. [RAA1] H.K. Rhee, R. Aris and N.R. Amundson, On the Theory of Multicomponent Chromatography, Philos. Trans. Roy. Soc. London, Vol. A267, 1970, pp. 419- 455. Zbl0233.76157
  6. [RAA2] H.K. Rhee, R. Aris and N.R. Amundson, Multicomponent Exchange in Continuous Countercurrent Exchanges, Philos. Trans. Roy. Soc. London, Vol. A269, 1971, pp. 187-215. Zbl0233.76158
  7. [Se] D. Serre, Solutions à variation bornée pour certains systèmes hyperboliques de lois de conservation, J. Diff. Equ., Vol. 68, 1987, pp. 137-168. Zbl0627.35062MR892021
  8. [Sm] J. Smoller, Shock Waves and Reaction-Diffusion Equations, Springer Verlag, 1983. Zbl0508.35002MR688146
  9. [T] B. Temple, Systems of Conservation Laws with Invariants Submanifolds, Trans. A.M.S., Vol. 280, No. 2, 1983. Zbl0559.35046MR716850
  10. [V] P. Valentin, Chromatographie en phase gazeuse. Étude de la réponse des colonnes à différents modes d'injection. Application à la determination des équilibres isothermes, Thèse d'État, Université Paris-VI, 1971. 

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