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Mathematical modeling of emission in...

Danilov, Vladimir.

Mathematical modeling of emission in small-size cathode

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical modeling of emission in small-size cathodeby Vladimir Danilov, Roman Gaydukov, Vadim Kretov.
Author:	Danilov, Vladimir.
other author:	Gaydukov, Roman.
Published:	Singapore :Springer Singapore :2020.
Description:	xii, 194 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	ElectronsEmission
Online resource:	https://doi.org/10.1007/978-981-15-0195-1
ISBN:	9789811501951$q(electronic bk.)

Mathematical modeling of emission in small-size cathode
Danilov, Vladimir.

Mathematical modeling of emission in small-size cathode[electronic resource] /by Vladimir Danilov, Roman Gaydukov, Vadim Kretov. - Singapore :Springer Singapore :2020. - xii, 194 p. :ill., digital ;24 cm. - Heat and mass transfer,1860-4846. - Heat and mass transfer..

1 Introduction -- 2 Physical basis for ﬁeld emission -- 3 Mathematical model -- 4 Numerical simulation and its results.

This book deals with mathematical modeling, namely, it describes the mathematical model of heat transfer in a silicon cathode of small (nano) dimensions with the possibility of partial melting taken into account. This mathematical model is based on the phase field system, i.e., on a contemporary generalization of Stefan-type free boundary problems. The approach used is not purely mathematical but is based on the understanding of the solution structure (construction and study of asymptotic solutions) and computer calculations. The book presents an algorithm for numerical solution of the equations of the mathematical model including its parallel implementation. The results of numerical simulation concludes the book. The book is intended for specialists in the field of heat transfer and field emission processes and can be useful for senior students and postgraduates.

ISBN: 9789811501951$q(electronic bk.)

Standard No.: 10.1007/978-981-15-0195-1doiSubjects--Topical Terms:

866194
Electrons
--Emission

LC Class. No.: QC793.5.E628

Dewey Class. No.: 539.72112

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245 1 0 $a Mathematical modeling of emission in small-size cathode $h [electronic resource] / $c by Vladimir Danilov, Roman Gaydukov, Vadim Kretov.
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505 0 $a 1 Introduction -- 2 Physical basis for ﬁeld emission -- 3 Mathematical model -- 4 Numerical simulation and its results.
520 $a This book deals with mathematical modeling, namely, it describes the mathematical model of heat transfer in a silicon cathode of small (nano) dimensions with the possibility of partial melting taken into account. This mathematical model is based on the phase field system, i.e., on a contemporary generalization of Stefan-type free boundary problems. The approach used is not purely mathematical but is based on the understanding of the solution structure (construction and study of asymptotic solutions) and computer calculations. The book presents an algorithm for numerical solution of the equations of the mathematical model including its parallel implementation. The results of numerical simulation concludes the book. The book is intended for specialists in the field of heat transfer and field emission processes and can be useful for senior students and postgraduates.
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