Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A temperature equation for a rigid heat conductor with memory

Author: George Seifert
Journal: Quart. Appl. Math. 38 (1980), 246-252
MSC: Primary 45D05; Secondary 45K05, 80A20
DOI: https://doi.org/10.1090/qam/580883
MathSciNet review: 580883
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  • [1] B. D. Coleman and M. E. Gurtin, Equipresence and constitutive equation for rigid heat conductors, Z. Angew. Math. Phys. 18, 199-208 (1967) MR 0214334
  • [2] M. E. Gurtin, On the thermodynamics of materials with memory, Arch. Rat. Mech. Anal. 28, 40-50 (1968) MR 1553503
  • [3] J. W. Nunziato, On heat conduction in materials with memory, Quart. Appl. Math. 29, 187-204 (1971) MR 0295683
  • [4] R. K. Miller, An integrodifferential equation for rigid heat conductors with memory, J. Math. Anal. Appl. 66, 313-332 (1978) MR 515894
  • [5] R. C. Grimmer and G. Seifert, Stability properties of Volterra integro-differential equation, J. Diff. Eq. 19, 142-166 (1975)
  • [6] M. E. Gurtin and A. C. Pipkin, A general theory of heat conduction with finite wave speeds, Arch. Rat. Mech. Anal. 31, 113-126 (1968) MR 1553521

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DOI: https://doi.org/10.1090/qam/580883
Article copyright: © Copyright 1980 American Mathematical Society

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