The local Cauchy problem for multicomponent reactive flows in full vibrational non-equilibrium

Mathematical Methods in the Applied Sciences

Volumn 21, Issue 15, 1998, Pages 1415-1439

  Giovangigli, Vincent ^a   Massot, Marc ^b  

^a CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

^b YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; GAS DYNAMICS; VIBRATIONS (MECHANICAL);

CAUCHY PROBLEM; GAS FLOWS;

FLOW OF FLUIDS;

EID: 0032182749     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199810)21:15<1415::AID-MMA2>3.0.CO;2-D     Document Type: Article

References (8)

1. Chalot, F., Hughes, T. J. R. and Shakib, F., 'Symmetrization of conservation laws with entropy for high-temperature hypersonic computations', Comput. Systems Engng, 1(2-4), 495-521 (1990).
2. Ern, A. and Giovangigli, V., Multicomponent Transport Algorithms, Lectures Notes in Physics, Vol. m24, Springer, Berlin, 1994.
3. Giovangigli, V., 'Convergent iterative methods for multicomponent diffusion', Impact Comput. Sci. Engng., 3, 244-276 (1991).
4. Giovangigli, V. and Massot, M., 'Asymptotic stability of equilibrium states for multicomponent reactive flows', Math. Models Meth. Appl. Sci. 8(2), 251-297 (1988).
5. Hirschfelder, J. O., Curtiss, C. F. and Bird, R. B., Molecular Theory of Gases and Liquids, Wiley, New York, 1954.
6. Massot, M., 'Modélisation Mathématique et Numérique de la Combustion des Mélanges Gazeux' Doctoral Thesis, Ecole Polytechnique, 1996.
7. Vol'pert, A. I. and Hudjaev, S. I., 'On the Cauchy problem for composite systems of nonlinear differential equations', Math USSR Sbornik, 16(4), 517-544 (1972).
8. Waldmann, L., and Trübenbacher, E., 'Formale Kinetische Theorie von Gasgemischen aus anregbaren Molekülen, Zeitschr. Naturforschg., 17a, 363-376 (1962).