A drift-diffusion-model for semiconductors with nonlinear diffusion: analysis and numerical approximation
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1994
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 100 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Jüngel, Ansgar |d 1966- |e Verfasser |0 (DE-588)132367521 |4 aut | |
| 245 | 1 | 0 | |a A drift-diffusion-model for semiconductors with nonlinear diffusion |b analysis and numerical approximation |c vorgelegt von Ansgar Jüngel |
| 264 | 1 | |c 1994 | |
| 300 | |a 100 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Berlin, Techn. Univ., Diss., 1994 | ||
| 650 | 0 | 7 | |a Halbleiterbauelement |0 (DE-588)4113826-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Diffusion |0 (DE-588)4012277-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineares Phänomen |0 (DE-588)4136065-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Diffusion |0 (DE-588)4012277-3 |D s |
| 689 | 0 | 2 | |a Nichtlineares Phänomen |0 (DE-588)4136065-5 |D s |
| 689 | 0 | 3 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |D s |
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Datensatz im Suchindex
| _version_ | 1807502910872879104 |
|---|---|
| adam_text |
3
CONTENTS
1
INTRODUCTION
4
2
BASIC
SEMICONDUCTOR
PHYSICS
8
2.1
HOMOGENEOUS
SEMICONDUCTORS
.
8
2.2
INHOMOGENEOUS
SEMICONDUCTORS
.
9
3
ON
EXISTENCE
AND
UNIQUENESS
OF
TRANSIENT
SOLUTIONS
13
3.1
INTRODUCTION
AND
HYPOTHESES
.
13
3.2
THE
NONDEGENERATE
SYSTEM
.
15
3.3
THE
DEGENERATE
SYSTEM:
EXISTENCE
OF
SOLUTIONS
.
24
3.4
THE
DEGENERATE
SYSTEM:
UNIQUENESS
OF
SOLUTIONS
.
30
3.5
ADDITIONAL
REMARKS
.
35
4
QUALITATIVE
BEHAVIOR
OF
TRANSIENT
SOLUTIONS
36
4.1
INTRODUCTION
.
36
4.2
A
LOCAL
VANISHING
PROPERTY
.
37
4.3
GLOBAL
BOUNDEDNESS
.
40
4.4
THE
THERMAL
EQUILIBRIUM
STATE
.
44
4.5
ASYMPTOTIC
BEHAVIOR
.
45
5
NUMERICAL
APPROXIMATION
OF
TRANSIENT
SOLUTIONS
AND
STATIC
VOLTAGE-CURRENT
CHARACTERISTICS
51
5.1
INTRODUCTION
.
51
5.2
NUMERICAL
APPROXIMATION
.
53
5.3
NUMERICAL
RESULTS
.
56
5.4
THE
PN
JUNCTION
DIODE
.
62
5.5
STATIC
VOLTAGE-CURRENT
CHARACTERISTICS
.
65
6
THE
FREE
BOUNDARY
PROBLEM
OF
THE
THERMAL
EQUILIBRIUM
STATE
71
6.1
INTRODUCTION
.
71
6.2
ESTIMATES
ON
THE
VACUUM
SETS
.
72
6.3
ON
THE
REGULARITY
OF
THE
FREE
BOUNDARY
.
78
6.4
AN
ERROR
ESTIMATE
FOR
THE
FINITE
ELEMENT
APPROXIMATION
.
82
6.5
NUMERICAL
EXAMPLES
.
87
BIBLIOGRAPHY
95 |
| any_adam_object | 1 |
| author | Jüngel, Ansgar 1966- |
| author_GND | (DE-588)132367521 |
| author_facet | Jüngel, Ansgar 1966- |
| author_role | aut |
| author_sort | Jüngel, Ansgar 1966- |
| author_variant | a j aj |
| building | Verbundindex |
| bvnumber | BV009751582 |
| classification_tum | PHY 013d MAT 356d ELT 300d |
| ctrlnum | (OCoLC)64512646 (DE-599)BVBBV009751582 |
| discipline | Physik Elektrotechnik Mathematik |
| format | Thesis Book |
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| indexdate | 2024-08-16T00:45:02Z |
| institution | BVB |
| language | English |
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| publishDate | 1994 |
| publishDateSearch | 1994 |
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| spelling | Jüngel, Ansgar 1966- Verfasser (DE-588)132367521 aut A drift-diffusion-model for semiconductors with nonlinear diffusion analysis and numerical approximation vorgelegt von Ansgar Jüngel 1994 100 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berlin, Techn. Univ., Diss., 1994 Halbleiterbauelement (DE-588)4113826-0 gnd rswk-swf Diffusion (DE-588)4012277-3 gnd rswk-swf Nichtlineares Phänomen (DE-588)4136065-5 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Halbleiterbauelement (DE-588)4113826-0 s Diffusion (DE-588)4012277-3 s Nichtlineares Phänomen (DE-588)4136065-5 s Parabolische Differentialgleichung (DE-588)4173245-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006449835&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jüngel, Ansgar 1966- A drift-diffusion-model for semiconductors with nonlinear diffusion analysis and numerical approximation Halbleiterbauelement (DE-588)4113826-0 gnd Diffusion (DE-588)4012277-3 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4113826-0 (DE-588)4012277-3 (DE-588)4136065-5 (DE-588)4173245-5 (DE-588)4113937-9 |
| title | A drift-diffusion-model for semiconductors with nonlinear diffusion analysis and numerical approximation |
| title_auth | A drift-diffusion-model for semiconductors with nonlinear diffusion analysis and numerical approximation |
| title_exact_search | A drift-diffusion-model for semiconductors with nonlinear diffusion analysis and numerical approximation |
| title_full | A drift-diffusion-model for semiconductors with nonlinear diffusion analysis and numerical approximation vorgelegt von Ansgar Jüngel |
| title_fullStr | A drift-diffusion-model for semiconductors with nonlinear diffusion analysis and numerical approximation vorgelegt von Ansgar Jüngel |
| title_full_unstemmed | A drift-diffusion-model for semiconductors with nonlinear diffusion analysis and numerical approximation vorgelegt von Ansgar Jüngel |
| title_short | A drift-diffusion-model for semiconductors with nonlinear diffusion |
| title_sort | a drift diffusion model for semiconductors with nonlinear diffusion analysis and numerical approximation |
| title_sub | analysis and numerical approximation |
| topic | Halbleiterbauelement (DE-588)4113826-0 gnd Diffusion (DE-588)4012277-3 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Halbleiterbauelement Diffusion Nichtlineares Phänomen Parabolische Differentialgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006449835&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jungelansgar adriftdiffusionmodelforsemiconductorswithnonlineardiffusionanalysisandnumericalapproximation |