Quasi-hydrodynamic Semiconductor Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2001
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
41 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (X, 293 p) |
| ISBN: | 9783034883344 9783034895217 |
| DOI: | 10.1007/978-3-0348-8334-4 |
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Datensatz im Suchindex
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| author | Jüngel, Ansgar |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8334-4 |
| format | Electronic eBook |
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| language | English |
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| spelling | Jüngel, Ansgar Verfasser aut Quasi-hydrodynamic Semiconductor Equations by Ansgar Jüngel Basel Birkhäuser Basel 2001 1 Online-Ressource (X, 293 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 41 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 Mathematics Mathematics, general Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd rswk-swf Halbleiterbauelement (DE-588)4113826-0 gnd rswk-swf Halbleiter (DE-588)4022993-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Halbleiterbauelement (DE-588)4113826-0 s System von partiellen Differentialgleichungen (DE-588)4116672-3 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Halbleiter (DE-588)4022993-2 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 https://doi.org/10.1007/978-3-0348-8334-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jüngel, Ansgar Quasi-hydrodynamic Semiconductor Equations Mathematics Mathematics, general Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Halbleiterbauelement (DE-588)4113826-0 gnd Halbleiter (DE-588)4022993-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4116672-3 (DE-588)4113826-0 (DE-588)4022993-2 (DE-588)4114528-8 |
| title | Quasi-hydrodynamic Semiconductor Equations |
| title_auth | Quasi-hydrodynamic Semiconductor Equations |
| title_exact_search | Quasi-hydrodynamic Semiconductor Equations |
| title_full | Quasi-hydrodynamic Semiconductor Equations by Ansgar Jüngel |
| title_fullStr | Quasi-hydrodynamic Semiconductor Equations by Ansgar Jüngel |
| title_full_unstemmed | Quasi-hydrodynamic Semiconductor Equations by Ansgar Jüngel |
| title_short | Quasi-hydrodynamic Semiconductor Equations |
| title_sort | quasi hydrodynamic semiconductor equations |
| topic | Mathematics Mathematics, general Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Halbleiterbauelement (DE-588)4113826-0 gnd Halbleiter (DE-588)4022993-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Numerisches Verfahren System von partiellen Differentialgleichungen Halbleiterbauelement Halbleiter Mathematisches Modell |
| url | https://doi.org/10.1007/978-3-0348-8334-4 |
| work_keys_str_mv | AT jungelansgar quasihydrodynamicsemiconductorequations |