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Heat Conduction Within Linear Thermoelasticity (Paperback, Softcover reprint of the original 1st ed. 1985)
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Heat Conduction Within Linear Thermoelasticity (Paperback, Softcover reprint of the original 1st ed. 1985)
Series: Springer Tracts in Natural Philosophy, 30
Expected to ship within 10 - 15 working days
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J-B. J. FOURIER'S immensely influential treatise Theorie Analytique
de la Chaleur [21J, and the subsequent developments and refinements
of FOURIER's ideas and methods at the hands of many authors,
provide a highly successful theory of heat conduction. According to
that theory, the growth or decay of the temperature e in a
conducting body is governed by the heat equation, that is, by the
parabolic partial differential equation Such has been the influence
of FOURIER'S theory, which must forever remain the classical theory
in that it sets the standard against which all other theories are
to be measured, that the mathematical investigation of heat
conduction has come to be regarded as being almost identicalt with
the study of the heat equation, and the reader will not need to be
reminded that intensive analytical study has t But not entirely;
witness, for example, those theories which would replace the heat
equation by an equation which implies a finite speed of propagation
for the temperature. The reader is referred to the article [9] of
COLEMAN, FABRIZIO, and OWEN for the derivation of such an equation
from modern Continuum Thermody namics and for references to earlier
work in this direction. viii Introduction amply demonstrated that
the heat equation enjoys many properties of great interest and
elegance.
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