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Mathematical modeling of emission in small-size cathode / by Vladimir Danilov, Roman Gaydukov, Vadim Kretov

By: Danilov, Vladimir, autor
Contributor(s): Gaydukov, Roman, autor | Kretov, Vadim, autor
Series: (Heat and Mass Transfer, 1860-4846); (Engineering (Springer-11647)).Publisher: Singapore : Springer Singapore : Imprint: Springer, 2020Edition: First edition.Description: 1 recurso en línea (XII, 194 páginas) : 77 ilustraciones.ISBN: 9789811501951.Subject: Electrones | Electrodos | Modelos matemáticosOnline resources: Acceso a este recurso digital (usuarios Universidad Europea de Madrid)Digital Resources
Contents:
1 Introduction -- 2 Physical basis for field emission -- 3 Mathematical model -- 4 Numerical simulation and its results.
Abstract: 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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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
LIBRO-E NO PRÉSTAMO LIBRO-E NO PRÉSTAMO Madrid Digital Acceso Electrónico (UEM) Ciencias e Ingeniería QC793.5 .E628 2020 EB (Browse shelf(Opens below)) Acceso electrónico eBook06112151
Total holds: 0

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.

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