William A. Day Heat Conduction Within Linear Thermoelasticity 9781461395577

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Автор: William A. Day
Название: Heat Conduction Within Linear Thermoelasticity
ISBN: 9781461395577
Издательство: Springer
Классификация:

Основы высшей математики и математический анализ

Термодинамика и теплообмен

Математическая физика

ISBN-10: 1461395577
Обложка/Формат: Paperback
Страницы: 84
Вес: 0.14 кг.
Дата издания: 16.01.2012
Серия: Springer Tracts in Natural Philosophy
Язык: English
Размер: 234 x 156 x 5
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: J-B. J. FOURIERS immensely influential treatise Theorie Analytique de la Chaleur 21J, and the subsequent developments and refinements of FOURIERs 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 FOURIERS 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.

Heat Conduction Within Linear Thermoelasticity, William A. Day