Dafermos, Constantine M.:
The entropy rate admissibility criterion in thermoelasticity
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 57 (1974), fasc. n.1-2, p. 113-119, (English)
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Si caratterizza l'ammissibilità di processi termodinamici con onde d'urto per corpi termoelastici mediante due criteri, uno dipendente dalla viscosità, l'altro sull'entropia, e si dimostra l'equivalenza di questi due criteri.
Referenze Bibliografiche
[1]
MAC CAMY R. C. and
MIZEL V. J. (
1967) -
Existence and nonexistence in the large of solutions of quasilinear wave equations, «
Arch. Rat. Mech. Analysis»,
25, 299-320. |
fulltext (doi) |
MR 216165 |
Zbl 0146.33801[2] DAFERMOS C.M. (1974) - Quasilinear hyperbolic systems that result from conservation laws. Chapter III in «Nonlinear Waves», S. Leibovich and A. R. Seebass Eds. Cornell Univ. Press.
[3]
VOLPERT A. I. (
1967) -
The space BV and quasilinear equations, «
Mat. Sbornik»,
73 (115), no. 2; English transl. «
Math. USSR Sbornik»,
2, 225-267. |
MR 216338[4]
TRUESDELL C. A. and
TOUPIN R. A. (
1960) -
The Classical Field Theories, Vol. III/I of the
Encyclopedia of Physics,
S. Flügge, Ed., Berlin:
Springer-Verlag. |
MR 118005[5]
TRUESDELL C. A. and
NOLL W. (
1965) -
The Non-linear Field Theories of Mechanics. Vol. III/3 of the
Encyclopedia of Physics,
S. Flügge, Ed., Berlin:
Springer-Verlag. |
MR 193816 |
Zbl 0779.73004[6]
GELFAND I. M. (
1959) -
Some problems in the theory of quasilinear equations, «
Uspehi Mat. Nauk»,
14, no. 2 (86), 87-158. English translation in «
Amer. Math. Soc. Translations», ser. 2,
29, 295-381. |
MR 110868[7]
DAFERMOS C. M. (
1974) -
Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws, «
Arch. Rational Mech. Analysis»,
53, 203-217. |
fulltext (doi) |
MR 348289 |
Zbl 0278.35065[8]
WENDROFF B. (
1972) -
The Riemann problem for materials with nonconvex equations of state, «
J. Math. Anal. and Applications»,
38, 454-466. |
fulltext (doi) |
MR 328387 |
Zbl 0264.76054[9]
DAFERMOS C. M. (
1973) -
The entropy rate admissibility criterion for solutions of hyperbolic conservation laws, «
J. Diff. Equations»,
14, 202-212. |
fulltext (doi) |
MR 328368 |
Zbl 0262.35038