|
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
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Bernard D. Coleman and Morton E. Gurtin, Equipresence and constitutive equations for rigid heat conductors, Z. Angew. Math. Phys. 18 (1967), 199–208 (English, with German summary). MR 214334, DOI https://doi.org/10.1007/BF01596912
- Morton E. Gurtin, On the thermodynamics of materials with memory, Arch. Rational Mech. Anal. 28 (1968), no. 1, 40–50. MR 1553503, DOI https://doi.org/10.1007/BF00281562
- Jace W. Nunziato, On heat conduction in materials with memory, Quart. Appl. Math. 29 (1971), 187–204. MR 295683, DOI https://doi.org/10.1090/S0033-569X-1971-0295683-6
- R. K. Miller, An integro-differential equation for rigid heat conductors with memory, J. Math. Anal. Appl. 66 (1978), no. 2, 313–332. MR 515894, DOI https://doi.org/10.1016/0022-247X%2878%2990234-2 R. C. Grimmer and G. Seifert, Stability properties of Volterra integro-differential equation, J. Diff. Eq. 19, 142–166 (1975)
- Morton E. Gurtin and A. C. Pipkin, A general theory of heat conduction with finite wave speeds, Arch. Rational Mech. Anal. 31 (1968), no. 2, 113–126. MR 1553521, DOI https://doi.org/10.1007/BF00281373
Retrieve articles in Quarterly of Applied Mathematics with MSC: 45D05, 45K05, 80A20
Retrieve articles in all journals with MSC: 45D05, 45K05, 80A20
Additional Information
Article copyright:
© Copyright 1980
American Mathematical Society