Reductions in a class of dissipative dynamical systems of macroscopic physics
Grmela, Miroslav ; Iscoe, Ian
Annales de l'I.H.P. Physique théorique, Tome 29 (1978), p. 111-136 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1978-01-01
@article{AIHPA_1978__28_2_111_0,
     author = {Grmela, Miroslav and Iscoe, Ian},
     title = {Reductions in a class of dissipative dynamical systems of macroscopic physics},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {29},
     year = {1978},
     pages = {111-136},
     mrnumber = {479059},
     zbl = {0377.76080},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1978__28_2_111_0}
}

Grmela, Miroslav; Iscoe, Ian. Reductions in a class of dissipative dynamical systems of macroscopic physics. Annales de l'I.H.P. Physique théorique, Tome 29 (1978) pp. 111-136. http://gdmltest.u-ga.fr/item/AIHPA_1978__28_2_111_0/

[1] J. Bognar, Indefinite Inner Product Spaces (Springer-Verlag, 1974). | MR 467261 | Zbl 0286.46028

[2] J.W. Cahn and J.E. Hilliard, J. Chem. Phys., t. 28, 1958, p. 258 ; J.S. Langer, in : Fluctuations, Instabilities, and Phase Transitions, ed. Tormod Riste (Plenum Press, 1975).

[3] S.R. De Groot and P. Mazur, Non-equilibrium Thermodynamics.

[4] S. Chapman and T.G. Cowling, The Mathematical Theory of Non-uniform Gases Cambridge, 1952), 2nd ed., Chap. 16, results of H. H. Thorne. L. Barajas, L. S. Garcia-Colin and E. Pina, J. Stat. Phys., t. 7, 1973, p. 161.

[5] F.R. Gantmacher, The Theory of Matrices, Vol. II (Chelsea, N. Y., 1959).

[6] L.S. Garcia-Colin and M.S. Green, Phys. Rev., t. 150, 1966, p. 153.

[7] Jn.P. Ginzburg and I.S. Iohvidov, Uspehi, Mat. Nank., t. 17, 1962, n° 4, 3. | MR 145319

[8] I.C. Gohberg and M.G. Krein, Introduction to the Theory of Linear Non-selfadjoint Operators A. M. S., 1969. | Zbl 0181.13504

[9] R.B. Griffiths and J.C. Wheeler, Phys. Rev., A2, 1970, p. 1047.

[10] M. Grmela, Helv. Phys. Acta, t. 47, 1974, p. 677 ; J. Math. Phys., t. 16, 1975, p. 2450. | MR 366215 | Zbl 0369.76076

[11] M. Grmela, Helv. Phys. Acta, t. 47, 1974, p. 667 ; J. Math. Phys., t. 16, 1975, p. 2441. | MR 406075

[12] T. Kato, Perturbation Theory for Linear Operators (Springer-Verlag, Berlin-Heidelberg, New York, 1966). | MR 203473 | Zbl 0148.12601

[13] H.N.W. Lekkerkerker and W.G. Laidlaw, Phys. Rev., A 9, 1974, p. 431. | MR 381473

[14] A.I. Malcev, Foundations of Linear Algebra, (Freeman, 1963). | MR 166200

[15] K. Maltman and W.G. Laidlaw, J. Math. Phys., t. 16, 1975, p. 1562. | MR 418622

[16] J.A. Mclennan, Phys. Fluids, t. 8, 1965, p. 1580. | MR 198794

[17] J.A. Mclennan, Phys. Rev., A 10, 1974, p. 1272. | MR 406060

[18] L. Onsager, Phys. Rev., t. 37, 1931, p. 405 ; t. 38, 1931, p. 2265. | JFM 57.1168.10 | Zbl 0004.18303

[19] P. Resibois, J. Stat. Phys., t. 2, 1970, p. 21. | MR 601685

[20] G. Scharf, Helv. Phys. Acta, t. 40, 1967, p. 929; t. 42, 1969, p. 5. | Zbl 0154.46405

[21] L. Tisza, Generalized Thermodynamics (M. I. T. Press, 1966).

[22] N.G. Van Kampen, Physica, t. 67, 1973, p. 1. | MR 421522

[23] K. Yoshida, Functional Analysis (Springer, 1968).