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Variational Principles of Continuum Mechanics: I. Fundamentals

Condition: BRAND NEW
ISBN: 9783540884668
Author(s): Victor L. Berdichevsky
Format: Paperback
Year: 2009
Publisher: Springer
Dimensions: 156 x 234 x 31 (w x l x h)
Pages: 586
Series: Interaction of Mechanics and Mathematics
Series Number: 01

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Description:
Thereareabout500booksonvariationa­lprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as the rst principles of the theory of thermodynamic equilibrium but as a consequence of the Einstein formula for thermodynamic uctuations. The mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for direct study of variational problems. Thebookisacompletelyrewrittenversionoftheauthor'­smonographVariational Principles of Continuum Mechanics which appeared in Russian in 1983. I have been postponing the English translation because I wished to include the variational pr- ciples of irreversible processes in the new edition. Reaching an understanding of this subject took longer than I expected. In its nal form, this book covers all aspects of the story. The part concerned with irreversible processes is tiny, but it determines the accents put on all the results presented.
The other new issues included in the book are: entropy of microstructure, variational principles of vortex line dynamics, va- ational principles and integration in functional spaces, some stochastic variational problems
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