Variational and extremum principles in macroscopic systems

著者

書誌事項

Variational and extremum principles in macroscopic systems

edited by Stanislaw Sieniutycz, Henrik Farkas

Elsevier, c2005

大学図書館所蔵 件 / 全2件

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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 Pontryagin's maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of Variational and Extremum Principles in Macroscopic Systems 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.

目次

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

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