Mathematical Modeling of Emission in Small-Size Cathode (Heat and Mass Transfer) - Hardcover

Danilov, Vladimir; Gaydukov, Roman; Kretov, Vadim

 
9789811501944: Mathematical Modeling of Emission in Small-Size Cathode (Heat and Mass Transfer)
Hardcover
ISBN 10: 9811501947 ISBN 13: 9789811501944
Publisher: Springer, 2019

Synopsis

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.​

"synopsis" may belong to another edition of this title.

About the Author

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.


From the Back Cover

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 this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2019
Language
English
ISBN 10 
9811501947
ISBN 13 
9789811501944
Binding
Hardcover
Edition number
1
Number of pages
206

Other Popular Editions of the Same Title

9789811501975: Mathematical Modeling of Emission in Small-Size Cathode (Heat and Mass Transfer)

Featured Edition

ISBN 10:  9811501971 ISBN 13:  9789811501975
Publisher: Springer, 2020
Softcover