Heat and Mass Transfer

Mathematical Modeling of Emission in Small-Size Cathode

Authors: Danilov, Vladimir, Gaydukov, Roman, Kretov, Vadim

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  • Describes a mathematical model of heat transfer in a silicon cathode of small (nano) dimensions
  • Presents an algorithm for numerical solution of the equations of the mathematical model including its parallel implementation
  • Intended for specialists in the field of heat transfer and field emission processes
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eBook 96,29 €
price for Spain (gross)
  • ISBN 978-981-15-0195-1
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Hardcover 124,79 €
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  • ISBN 978-981-15-0194-4
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  • Usually dispatched within 3 to 5 business days.
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About this book

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.​

About the authors

Vladimir G. Danilov received the Ph.D. degree from the Moscow Institute of Electronics and Mathematics, Moscow, Russia, in 1976, and the D.Sci. degree from Moscow State University, Moscow, in 1990. He is currently a Professor with the National Research University Higher School of Economics, Moscow. His current research interests include linear and nonlinear problems of PDE, asymptotic methods, and mathematical simulation.

Roman K. Gaydukov received the M.S. degree from the Moscow Institute of Electronics and Mathematics, Moscow, Russia, in 2012, and the Ph.D. degree from National Research University Higher School of Economics, Moscow, Russia, in 2016. He is currently an Associate Professor with the National Research University Higher School of Economics, Moscow. His current research interests include asymptotic methods, mathematical and numerical simulation, field emission, fluid mechanics and boundary layer theory.

Vadim I. Kretov received the M.S. degree from the Moscow Institute of Electronics and Mathematics, Moscow, Russia, in 2008, and the Ph.D. degree from National Research University Higher School of Economics, Moscow, Russia, in 2019.  His current research interests include mathematical simulation, field emission, and numerical solution of PDE.


Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-981-15-0195-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-981-15-0194-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modeling of Emission in Small-Size Cathode
Authors
Series Title
Heat and Mass Transfer
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-15-0195-1
DOI
10.1007/978-981-15-0195-1
Hardcover ISBN
978-981-15-0194-4
Series ISSN
1860-4846
Edition Number
1
Number of Pages
XII, 194
Number of Illustrations
77 b/w illustrations
Topics