Variational and Extremum Principles in Macroscopic Systems 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Variational and Extremum Principles in Macroscopic Systems

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Sieniutycz, Stanislaw (EDT)/ Farkas, Henrik (EDT) 作者
Elsevier Science Ltd
譯者
2005-5 出版日期
810 頁數
$ 367.25 價格
HRD
叢書系列
9780080444888 圖書編碼

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Variational and Extremum Principles in Macroscopic Systems 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Variational and Extremum Principles in Macroscopic Systems 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Variational and Extremum Principles in Macroscopic Systems 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Variational and Extremum Principles in Macroscopic Systems 在線電子書 圖書描述

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 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. This volume offers a unique multidisciplinary synthesis of variational and extremum principles in theory and application. It provides a comprehensive review of current and past achievements in variational formulations for macroscopic processes. It uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy.

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