Nonhomogeneous quasilinear hyperbolic system arising in chemical engineering

L. Hsiao; P. Marcati

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1988)

  • Volume: 15, Issue: 1, page 65-97
  • ISSN: 0391-173X

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Hsiao, L., and Marcati, P.. "Nonhomogeneous quasilinear hyperbolic system arising in chemical engineering." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 15.1 (1988): 65-97. <http://eudml.org/doc/84026>.

@article{Hsiao1988,
author = {Hsiao, L., Marcati, P.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {entropy admissibility criterion; half-branch curve; Riemann invariants; nonhomogeneous; bubbling},
language = {eng},
number = {1},
pages = {65-97},
publisher = {Scuola normale superiore},
title = {Nonhomogeneous quasilinear hyperbolic system arising in chemical engineering},
url = {http://eudml.org/doc/84026},
volume = {15},
year = {1988},
}

TY - JOUR
AU - Hsiao, L.
AU - Marcati, P.
TI - Nonhomogeneous quasilinear hyperbolic system arising in chemical engineering
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1988
PB - Scuola normale superiore
VL - 15
IS - 1
SP - 65
EP - 97
LA - eng
KW - entropy admissibility criterion; half-branch curve; Riemann invariants; nonhomogeneous; bubbling
UR - http://eudml.org/doc/84026
ER -

References

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  1. [DH] C.M. Dafermos - L. Hsiao, Hyperbolic systems of balance laws with inhomogeneity and dissipation. Ind. Univ. Math. J.31 (1982), 471-491. Zbl0497.35058MR662914
  2. [DI] R.J. Di Perna, Global solutions to a class of nonlinear hyperbolic systems of equations. Comm. Pure and Appl. Math.26 (1973), 1-28. Zbl0243.35068MR330788
  3. [FG] P.V. Foscolo - L.G. Gibilaro, A fully predictive criterion for the transition between particulate and aggregate fluidization. Chemical engineering Science39 (1984), 1667-1675. 
  4. [G] J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equationsComm. Pure Appl. Math.18 (1965), 95-105. Zbl0141.28902MR194770
  5. [LA] P. Lax, Hyperbolic systems of conservation laws, II. Comm. Pure and Appl. Math.10 (1957), 537-566. Zbl0081.08803MR93653
  6. [LI] T.P. Liu, Quasilinear hyperbolic systems. Comm. Math. Phys.68 (1979), 141-172. Zbl0435.35054MR543196
  7. [RFHY] P.N. Rowe - P.U. Foscolo - A.C. Hoffmann - I.C. Yates. Proc. 4th International Conference in Fluidization, Japan 1983. 
  8. [S] J. Smoller, Shock Waves and Reaction-Diffusion Equations. Grundleheren der Mathematischen Wissenschaften258. Springer-VerlagNew York, Heidelberg, Berlin1983. Zbl0508.35002MR688146
  9. [Y] J.C. Yates, Fundamentals of fluidized-bed. Chemical Processes. Butterworths. London1983. 
  10. [YW] L.A. Ying - C.H. Wang, Global solutions to the Cauchy problem for a nonhomogeneous quasilinear hyperbolic system. Comm. Pure and Appl. Math.33 (1980), 579-597. Zbl0424.35057MR586412

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