| Edition |
1st ed. |
| Description |
1 online resource (xxxviii, 771 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Summary |
Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagins maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of the present book is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world. The first part of the book is focused on the theory, whereas the second focuses on applications. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. *A unique multidisciplinary synthesis of variational and extremum principles in theory and application. *A comprehensive review of current and past achievements in variational formulations for macroscopic processes. *Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy. |
| Contents |
Part I: Theory -- Variational Principles in Macroscopic Systems -- Part II: Applications -- Statistical Physics and Thermodynamics, Hydrodynamics and Continuum Mechanics, Transport Phenomena and Energy Conversion, Ecology, Selforganization and Econophysics -- Glossary of principal symbols -- Index. |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Subject |
Calculus of variations.
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Extremal problems (Mathematics)
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Mathematical physics.
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Calcul des variations.
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Problèmes extrémaux (Mathématiques)
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Physique mathématique.
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SCIENCE -- Physics -- Mathematical & Computational.
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Calculus of variations
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Extremal problems (Mathematics)
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Mathematical physics
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| Added Author |
Sieniutycz, Stanislaw.
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Farkas, Henrik.
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| Other Form: |
Print version: Variational and extremum principles in macroscopic systems. 1st ed. Amsterdam ; Boston : Elsevier, 2005 0080444881 9780080444888 (DLC) 2005040633 (OCoLC)58431849 |
| ISBN |
0080456146 (electronic bk.) |
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9780080456140 (electronic bk.) |
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9780080444888 |
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0080444881 |
| Standard No. |
AU@ 000048130959 |
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DEBBG BV039831934 |
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DEBBG BV042311015 |
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DEBSZ 279165315 |
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NZ1 12434394 |
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UKMGB 017568252 |
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AU@ 000072989792 |
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