Variational Principles of Continuum Mechanics: I. Fundamentals: 01 (Interaction of Mechanics and Mathematics) - Tapa blanda

Berdichevsky, Victor

 
9783540884668: Variational Principles of Continuum Mechanics: I. Fundamentals: 01 (Interaction of Mechanics and Mathematics)
Tapa blanda
ISBN 10: 3540884661 ISBN 13: 9783540884668
Editorial: Springer, 2009

Sinopsis

This is a concise and understandable book about variational principles of continuum mechanics. The book is accessible to applied mathematicians, physicists and engineers who have an interest in continuum mechanics.

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De la contraportada

The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems.

Berdichevsky s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibbs principles appear as a consequence of the Einstein formula for thermodynamic fluctuations rather than as the first principles of the theory of thermodynamic equilibrium. Mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for the direct study of variational problems. In addition, a thorough account of variational principles discovered in various branches of continuum mechanics is given.

In this book, the first volume, the author covers the variational principles for systems with a finite number of degrees of freedom; the variational principles of thermodynamics; the basics of continuum mechanics; the variational principles for classical models of continuum mechanics, such as elastic and plastic bodies, and ideal and viscous fluids; and direct methods of calculus of variations.

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Editorial
Springer
Año de publicación
2009
Idioma
Inglés
ISBN 10 
3540884661
ISBN 13 
9783540884668
Encuadernación
Tapa blanda
Número de páginas
604
Contacto del fabricante
no disponible
Persona responsable
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