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Mathematical modeling of emission in...

Danilov, Vladimir.

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Mathematical modeling of emission in small-size cathode

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical modeling of emission in small-size cathode/ by 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.
[NT 15003449]:	1 Introduction -- 2 Physical basis for ﬁeld emission -- 3 Mathematical model -- 4 Numerical simulation and its results.
Contained By:	Springer eBooks
Subject:	Electrons - Emission -
Online resource:	https://doi.org/10.1007/978-981-15-0195-1
ISBN:	9789811501951

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

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

3443895
Electrons
--Emission

LC Class. No.: QC793.5.E628

Dewey Class. No.: 539.72112

Mathematical modeling of emission in small-size cathode
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100 1 $a Danilov, Vladimir. $3 3443892
245 1 0 $a Mathematical modeling of emission in small-size cathode $h [electronic resource] / $c by Vladimir Danilov, Roman Gaydukov, Vadim Kretov.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xii, 194 p. : $b ill., digital ; $c 24 cm.
490 1 $a Heat and mass transfer, $x 1860-4846
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.
650 0 $a Electrons $x Emission $x Mathematical models. $3 3443895
650 0 $a Cathodes $x Mathematical models. $3 3443896
650 1 4 $a Numerical and Computational Physics, Simulation. $3 2209853
650 2 4 $a Engineering Thermodynamics, Heat and Mass Transfer. $3 1002079
650 2 4 $a Optical and Electronic Materials. $3 891120
650 2 4 $a Semiconductors. $3 516162
650 2 4 $a Nanotechnology and Microengineering. $3 1005737
700 1 $a Gaydukov, Roman. $3 3443893
700 1 $a Kretov, Vadim. $3 3443894
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Heat and mass transfer. $3 1624020
856 4 0 $u https://doi.org/10.1007/978-981-15-0195-1
950 $a Engineering (Springer-11647)