Extensions of a property of the heat equation to linear thermoelasticity and other theories
Author:
W. A. Day
Journal:
Quart. Appl. Math. 40 (1982), 319-330
MSC:
Primary 73U05; Secondary 35Q20
DOI:
https://doi.org/10.1090/qam/678203
MathSciNet review:
678203
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G. Pólya and G. Szegö, Sur quelques propriétés de la propagation de la chaleur, C. R. Acad. Sci. (Paris) 192, 1340–1342 (1931)
- Richard Bellman, Some properties of summation kernels, Duke Math. J. 15 (1948), 1013–1019. MR 27355
- Bruno A. Boley and Jerome H. Weiner, Theory of thermal stresses, John Wiley & Sons, Inc., New York London, 1960. MR 0112414
- P. Chadwick, Thermoelasticity. The dynamical theory, Progress in solid mechanics, Vol. 1, North-Holland Publishing Co., Amsterdam, 1960, pp. 263–328. MR 0113406
D. E. Carlson, Linear thermoelasticity, in Encyclopedia of Physics, VIa/2, Springer, Berlin (1972)
- Edwin F. Beckenbach and Richard Bellman, Inequalities, Ergebnisse der Mathematik und ihrer Grenzgebiete, N.F., Bd. 30, Springer-Verlag, New York, Inc., 1965. Second revised printing. MR 0192009
- Larry E. Bobisud, On the behavior of the solution of the telegraphist’s equation for large velocities, Pacific J. Math. 22 (1967), 213–219. MR 225025
- Ingo Müller, Die kältefunktion, eine universelle funktion in der Thermodynamik viskoser wärmeleitender Flüssigkeiten, Arch. Rational Mech. Anal. 40 (1971), no. 1, 1–36 (German). MR 1553556, DOI https://doi.org/10.1007/BF00281528
- Josef Meixner, On the linear theory of heat conduction, Arch. Rational Mech. Anal. 39 (1970), no. 2, 108–130. MR 1553553, DOI https://doi.org/10.1007/BF00281042
G. Pólya and G. Szegö, Sur quelques propriétés de la propagation de la chaleur, C. R. Acad. Sci. (Paris) 192, 1340–1342 (1931)
R. Bellman, A property of summation kernels, Duke Math. J. 15, 1013–1019 (1948)
B. A. Boley and J. H. Weiner, Theory of thermal stresses, Wiley, New York (1960)
P. Chadwick, Thermoelasticity: the dynamical theory, in Progress in solid mechanics 1, North-Holland, Amsterdam (1960)
D. E. Carlson, Linear thermoelasticity, in Encyclopedia of Physics, VIa/2, Springer, Berlin (1972)
E. F. Beckenbach and R. Bellman, Inequalities, Springer, Berlin (1965)
L. E. Bobisud, On the behaviour of the solution of the telegraphist’s equation for large velocities, Pac. J. Math. 22, 213–219 (1967)
I. Müller, Die Kältefunktion, eine universelle Funktion in der Thermodynamik viskoser Wärmeleitender, Arch. Rational Mech. Anal. 40, 1–36 (1971)
J. Meixner, On the linear theory of heat conduction, Arch. Rational Mech. Anal. 39, 108–130 (1970)
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Article copyright:
© Copyright 1982
American Mathematical Society
