Overview
Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 41)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (5 chapters)
Keywords
About this book
In this book a hierarchy of macroscopic models for semiconductor devices is presented. Three classes of models are studied in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each of the models is shown, including physical discussions. Furthermore, the corresponding mathematical problems are analyzed, using modern techniques for nonlinear partial differential equations. The equations are discretized employing mixed finite-element methods. Also, numerical simulations for modern semiconductor devices are performed, showing the particular features of the models.
Modern analytical techniques have been used and further developed, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.
The book is aimed at applied mathematicians and physicists interested in mathematics, as well as graduate and postdoc students and researchers in these fields.
Authors and Affiliations
Bibliographic Information
Book Title: Quasi-hydrodynamic Semiconductor Equations
Authors: Ansgar Jüngel
Series Title: Progress in Nonlinear Differential Equations and Their Applications
DOI: https://doi.org/10.1007/978-3-0348-8334-4
Publisher: Birkhäuser Basel
-
eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Verlag 2001
Hardcover ISBN: 978-3-7643-6349-9Published: 01 February 2001
Softcover ISBN: 978-3-0348-9521-7Published: 21 October 2012
eBook ISBN: 978-3-0348-8334-4Published: 27 April 2011
Series ISSN: 1421-1750
Series E-ISSN: 2374-0280
Edition Number: 1
Number of Pages: X, 293
Topics: Mathematics, general