Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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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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  • [1] Constantine M. Dafermos, The entropy rate admissibility criterion for solutions of hyperbolic conservation laws, J. Differential Equations 14 (1973), 202–212. MR 0328368, https://doi.org/10.1016/0022-0396(73)90043-0
  • [2] C. M. Dafermos, The entropy rate admissibility criterion in thermoelasticity, Accademia Nationale dei Lincei Ser VIII, 1974, 113-119
  • [3] 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
    Harumi Hattori, The Riemann problem for a van der Waals fluid, 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. 397–416. MR 837688
  • [4] Tai Ping Liu, The Riemann problem for general systems of conservation laws, J. Differential Equations 18 (1975), 218–234. MR 0369939, https://doi.org/10.1016/0022-0396(75)90091-1
  • [5] E. Aifantis and J. Serrin, Towards a mechanical theory of phase transformations, Technical Report, Corrosion Research Center, University of Minnesota
  • [6] E. Fermi, Thermodynamics, Dover, New York, 1956
  • [7] M. Slemrod, Dynamic phase transitions in a van der Waals fluid, MRC Technical Summary Report No. 2298
  • [8] L. Hsiao, The entropy rate admissibility criterion in gas dynamics, J. Differential Equations 38 (1980), no. 2, 226–238. MR 597802, https://doi.org/10.1016/0022-0396(80)90006-6

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DOI: https://doi.org/10.1090/qam/814229
Article copyright: © Copyright 1985 American Mathematical Society


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