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Titlebook: Nonlinear Analysis and Control of Physical Processes and Fields; M. Z. Zgurovsky,V. S. Mel’nik Book 2004 Springer-Verlag Berlin Heidelberg

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书目名称Nonlinear Analysis and Control of Physical Processes and Fields
编辑M. Z. Zgurovsky,V. S. Mel’nik
视频video
概述Up to date review on the Nonlinear Analysis and Control of Physical Processes and Fields and the relevant mathematical methods.Includes supplementary material:
丛书名称Data and Knowledge in a Changing World
图书封面Titlebook: Nonlinear Analysis and Control of Physical Processes and Fields;  M. Z. Zgurovsky,V. S. Mel’nik Book 2004 Springer-Verlag Berlin Heidelberg
描述.Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations..
出版日期Book 2004
关键词Heat Transfer; Heat-Mass; Nonlinear Analysis Methods; Parameter-systems; Physical Processes; calculus; con
版次1
doihttps://doi.org/10.1007/978-3-642-18770-4
isbn_softcover978-3-642-62285-4
isbn_ebook978-3-642-18770-4Series ISSN 1431-2107
issn_series 1431-2107
copyrightSpringer-Verlag Berlin Heidelberg 2004
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Control of Heat Transfer and Diffusion Processests. Though in reality the gas scheme of the roasting machine is rather complicated, for construction of the mathematical model of the studied process a simplified scheme of gas flows, . may be used, which allows to take into consideration all the peculiarities of the roasting machine operation.
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Preliminary ResultsThis chapter deals with the mathematical basis of optimization and control problems under consideration. The chapter, to some extent, is of auxiliary nature, though many results have their independent meaning.
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Functionals and FormsIn this chapter some classes of extreme problems for functionals representing the superposition of the real-valued function and multi-valued mapping in Banach spaces are studied. The elements of differential calculus of functionals on “nonlinear” sets and biforms are considered.
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Differential-Operator Equations and InclusionsThis chapter states some properties of nonlinear differential-operator equations solutions, of differential-operator inclusions and evolutional variational inequalities.
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Problems of Control of Physical Processes of Diffusion and Heat-Mass TransferThis chapter considers a set of the unilateral (one-directional) physical processes of diffusion and heat-mass transfer which frequently occur in industry and natural environment and are characterized by a stepwise (jumping) change of properties on reaching some threshold state.
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