Hamilton's principle and Rankine-Hugoniot conditions for general motions of mixtures

Meccanica

Volumn 34, Issue 1, 1999, Pages 39-47

  Gouin, Henri ^a   Gavrilyuk, Sergey ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY CONSERVATION; EQUATIONS OF MOTION;

HAMILTON PRINCIPLE; RANKINE-HUGONIOT CONDITIONS;

MULTIPHASE FLOW;

EID: 0032658109     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004370127958     Document Type: Article

References (13)

1. Gavrilyuk, S.L., Gouin, H. and Perepechko, Yu. V., 'A variational principle for two-fluid models', C. R. Acad. Sci. Paris, Série II 324 (1997) 483-490.
2. Gavrilyuk, S.L., Gouin, H. and Perepechko, Yu. V., 'Hyperbolic models of homogeneous two-fluid mixtures', Meccanica 33 (1998) 161-175.
3. Serrin, J., 'Mathematical principles of classical fluid mechanics', In: Encyclopedia of Physics, VIII/1, Springer-Verlag, 1959, pp. 125-263.
4. Berdichevsky, V.L., Variational Principles of Continuum Mechanics, Nauka, Moscow, 1983.
5. Geurst, J.A., 'Virtual mass in two-phase bubbly flow', Physica A 129 (1985) 233-261.
6. Geurst, J.A., 'Variational principles and two-fluid hydrodynamics of bubbly liquid/gas mixtures', Physica A 135 (1986) 455-486.
7. Gouin, H., Contribution à une Étude Géométrique et Variationnelle des Milieux Continus, Thèse d'Etat, Université de Provence, France, 1978.
8. Gouin, H., 'Lagrangian representation and invariance properties of perfect fluid flows', In: Non Linear Problems of Analysis in Geometry and Mechanics, Research Notes in Mathematics, Pitman 46, 1981, pp. 128-139.
9. Serre, D., 'Sur le principe variationnel des équations de la mécanique des fluides parfaits', Math. Model. Num. Anal. 27(6) (1993) 739-758.
10. Gouin, H., 'Thermodynamic form of the equation of motion for perfect fluids of grad n', C. R. Acad. Sci. Paris II 305 (1987) 833-838.
11. Stewart, H.B. and Wendroff, B., 'Two-phase flow: models and methods', J. Comput. Phys. 56 (1984) 363-409.
12. Prosperetti, A. and Satrape, J.V., 'Stability of two-phase flow models', In: D.D. Joseph and D.G. Schaeffer, (eds), Two-Phase Flows and Waves, Springer-Verlag, 1990, pp. 98-117.
13. Gouin, H., 'Variational theory of mixtures in continuum mechanics', Eur. J. Mech, B/Fluids 9 (1990) 469-491.