Heat Kernel : rencontre entre physiciens et mathématiciens
G. A. Vilkovisky (1992)
Recherche Coopérative sur Programme n°25
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G. A. Vilkovisky (1992)
Recherche Coopérative sur Programme n°25
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Hukum Chand Agrawal (1977)
Publications de l'Institut Mathématique
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Marian Smoluchowski (1924)
Pisma Mariana Smoluchowskiego
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G. K. Dhawan, D. D. Paliwal (1977)
Publications de l'Institut Mathématique
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Szymon Dolecki (1973)
Studia Mathematica
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Moitsheki, Raseelo J., Rowjee, Atish (2011)
Mathematical Problems in Engineering
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Chen, Xiao Dong, Nguang, Sing Kiong (2003)
Journal of Applied Mathematics and Decision Sciences
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Vala, Jiří
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Dorfman, Abram, Renner, Zachary (2009)
Mathematical Problems in Engineering
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Jaime E. Muñoz Rivera, Vanilde Bisognin, Eleni Bisognin (2002)
Bollettino dell'Unione Matematica Italiana
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We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.
Neil A. Watson (2002)
Colloquium Mathematicae
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We present simple elementary proofs of several theorems about temperatures and subtemperatures. Most of these are concerned with mean values over heat spheres, heat balls, and modified heat balls, with applications to proving Harnack theorems and the monotone approximation of subtemperatures by smooth subtemperatures.