On the properties of entropy rate in the entropy rate admissibility criterion
Author:
Harumi Hattori
Journal:
Quart. Appl. Math. 43 (1985), 305-315
MSC:
Primary 76N10; Secondary 35L65
DOI:
https://doi.org/10.1090/qam/814229
MathSciNet review:
814229
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Additional Information
- Constantine M. Dafermos, The entropy rate admissibility criterion for solutions of hyperbolic conservation laws, J. Differential Equations 14 (1973), 202–212. MR 328368, DOI https://doi.org/10.1016/0022-0396%2873%2990043-0
C. M. Dafermos, The entropy rate admissibility criterion in thermoelasticity, Accademia Nationale dei Lincei Ser VIII, 1974, 113–119
- Barbara Lee Keyfitz, The Riemann problem for nonmonotone stress-strain functions: a “hysteresis” approach, Nonlinear systems of partial differential equations in applied mathematics, Part 1 (Santa Fe, N.M., 1984) Lectures in Appl. Math., vol. 23, Amer. Math. Soc., Providence, RI, 1986, pp. 379–395. MR 837687
- Tai Ping Liu, The Riemann problem for general systems of conservation laws, J. Differential Equations 18 (1975), 218–234. MR 369939, DOI https://doi.org/10.1016/0022-0396%2875%2990091-1
E. Aifantis and J. Serrin, Towards a mechanical theory of phase transformations, Technical Report, Corrosion Research Center, University of Minnesota
E. Fermi, Thermodynamics, Dover, New York, 1956
M. Slemrod, Dynamic phase transitions in a van der Waals fluid, MRC Technical Summary Report No. 2298
- L. Hsiao, The entropy rate admissibility criterion in gas dynamics, J. Differential Equations 38 (1980), no. 2, 226–238. MR 597802, DOI https://doi.org/10.1016/0022-0396%2880%2990006-6
C. M. Dafermos, The entropy rate admissibility criterion for solutions of hyperbolic conservation laws, J. Diff. Eqs. 14, 202–212 (1973)
C. M. Dafermos, The entropy rate admissibility criterion in thermoelasticity, Accademia Nationale dei Lincei Ser VIII, 1974, 113–119
H. Hattori, The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion (to appear)
T. P. Liu, The Riemann problem for general systems of conservation laws, J. Diff. Eqs. 18, 218–234 (1975)
E. Aifantis and J. Serrin, Towards a mechanical theory of phase transformations, Technical Report, Corrosion Research Center, University of Minnesota
E. Fermi, Thermodynamics, Dover, New York, 1956
M. Slemrod, Dynamic phase transitions in a van der Waals fluid, MRC Technical Summary Report No. 2298
L. Hsiao, The entropy rate admissibility criterion in gas dynamics, J. Diff. Eqs. 38, 226–238 (1980)
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Article copyright:
© Copyright 1985
American Mathematical Society
