A uniqueness theorem for the coupled thermoelastic problem
Author:
J. H. Weiner
Journal:
Quart. Appl. Math. 15 (1957), 102-105
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/88216
MathSciNet review:
88216
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Additional Information
J. M. C. Duhamel, Second mémoire sur les phènomènes thermo-mécaniques, J. de l’École Polytech. 15, 1-57 (1837)
W. Voigt, Lehrbuch der Kristallphysik, Teubner, 1910
- C. Truesdell, The mechanical foundations of elasticity and fluid dynamics, J. Rational Mech. Anal. 1 (1952), 125–171, 173–300. MR 46838, DOI https://doi.org/10.1512/iumj.1952.1.51005
- Oliver Dimon Kellogg, Foundations of potential theory, Die Grundlehren der Mathematischen Wissenschaften, Band 31, Springer-Verlag, Berlin-New York, 1967. Reprint from the first edition of 1929. MR 0222317
G. Doetsch, Les équations aux derivées partielles du type parabolique, L’Enseignement Mathematique 35, 43 (1936)
- E. Sternberg and R. A. Eubanks, On the concept of concentrated loads and an extension of uniqueness theorem in the linear theory of elasticity, J. Rational Mech. Anal. 4 (1955), 135–168. MR 68994, DOI https://doi.org/10.1512/iumj.1955.4.54003
- M. A. Biot, Thermoelasticity and irreversible thermodynamics, J. Appl. Phys. 27 (1956), 240–253. MR 77441
J. M. C. Duhamel, Second mémoire sur les phènomènes thermo-mécaniques, J. de l’École Polytech. 15, 1-57 (1837)
W. Voigt, Lehrbuch der Kristallphysik, Teubner, 1910
C. Truesdell, The mechanical foundations of elasticity and fluid dynamics, J. Rational Mechanics and Analysis 1, 125-300 (1952)
O. D. Kellogg, Foundations of potential theory, J. Springer, Berlin, 1929
G. Doetsch, Les équations aux derivées partielles du type parabolique, L’Enseignement Mathematique 35, 43 (1936)
E. Sternberg and R. Eubanks, On the concept of concentrated loads and an extension of the uniqueness theorem in the linear theory of elasticity, J. Rational Mechanics and Analysis 4, 135-168 (1955)
M. A. Biot, Thermoelasticity and irreversible thermodynamics, J. Appl. Phys. 27, 240–254 (1956)
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Article copyright:
© Copyright 1957
American Mathematical Society
