Quasi-hydrodynamic Semiconductor Equations: 41 (Progress in Nonlinear Differential Equations and Their Applications, 41) - Hardcover

Jüngel, Ansgar

 
9783764363499: Quasi-hydrodynamic Semiconductor Equations: 41 (Progress in Nonlinear Differential Equations and Their Applications, 41)

Synopsis

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.

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

Product Description

This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.

Synopsis

In this text a hierarchy of macroscopic models for semiconductor devicces is presented. Three classes of models are studied in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations.

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

Other Popular Editions of the Same Title

9783034895217: Quasi-hydrodynamic Semiconductor Equations: 41 (Progress in Nonlinear Differential Equations and Their Applications, 41)

Featured Edition

ISBN 10:  3034895216 ISBN 13:  9783034895217
Publisher: Birkhäuser, 2012
Softcover