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Variational and Extremum Principles in Macroscopic Systems

£50.00 Out Of Stock

Product description

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.

Published 2005.
Hardback. As new. Very slight bumps on boards.

Item details

PLU:
0
Author(s):
Edited by Sieniutycz, S and Farkas, H
Condition:
As new
Edition:
2005
Format:
Hardback
ISBN-10:
0080444881
ISBN-13:
9780080444888
Number of pages:
771
Publisher:
Elsevier
Title:
Variational and Extremum Principles in Macroscopic Systems

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About this item

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.

Published 2005.
Hardback. As new. Very slight bumps on boards.

PLU:
0
Author(s):
Edited by Sieniutycz, S and Farkas, H
Condition:
As new
Edition:
2005
Format:
Hardback
ISBN-10:
0080444881
ISBN-13:
9780080444888
Number of pages:
771
Publisher:
Elsevier
Title:
Variational and Extremum Principles in Macroscopic Systems

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