Entropy and partial differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman Scientific & Technical
1993
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
295 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 108 S. |
| ISBN: | 0582229286 0470233591 |
Internformat
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| 100 | 1 | |a Day, William A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Entropy and partial differential equations |c W. A. Day |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman Scientific & Technical |c 1993 | |
| 300 | |a XIV, 108 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Pitman research notes in mathematics series |v 295 | |
| 650 | 4 | |a Entropía - Modelos matemáticos | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Entropy | |
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Datensatz im Suchindex
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| adam_text | Contents
PREFACE xiii
CHAPTER 1. ENTROPY AND ELLIPTIC EQUATIONS 1
Balance of heat and entropy 2
Radially symmetric solutions 5
Extension of the conclusions 11
Behaviour in unbounded regions 16
CHAPTER 2. ENTROPY AND THE HEAT EQUATION 23
Balance of heat and entropy 25
Behaviour of E(t), F{t), G(t), and H(t) 27
Behaviour of E(t),F(t),G(t), and H(t), when ft is a
half space 35
CHAPTER 3. CLAUSIUS INEQUALITY AND PARABOLIC
EQUATIONS 46
Balance of heat and entropy 47
Clausius inequality 48
Refinements of Clausius inequality 51
CHAPTER 4. AN INEQUALITY ASSOCIATED WITH
IRREVERSIBILITY 62
CHAPTER 5. BEHAVIOUR OF THE ENTROPY IN ISOLATION 73
Behaviour of the entropy when the dimension n = 1 76
Behaviour of the entropy in higher dimensions 83
CHAPTER 6. MORE ABOUT THE GROWTH OF ENTROPY
IN ISOLATION 90
A subsidiary inequality 94
The growth of entropy 105
REFERENCES 108
xi
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| discipline | Mathematik |
| edition | 1. publ. |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:26:00Z |
| institution | BVB |
| isbn | 0582229286 0470233591 |
| language | English |
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| oclc_num | 28183193 |
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| physical | XIV, 108 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Longman Scientific & Technical |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Day, William A. Verfasser aut Entropy and partial differential equations W. A. Day 1. publ. Harlow, Essex Longman Scientific & Technical 1993 XIV, 108 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 295 Entropía - Modelos matemáticos Differential equations, Partial Entropy Entropie (DE-588)4014894-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Entropie (DE-588)4014894-4 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Pitman research notes in mathematics series 295 (DE-604)BV000022845 295 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005850952&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Day, William A. Entropy and partial differential equations Pitman research notes in mathematics series Entropía - Modelos matemáticos Differential equations, Partial Entropy Entropie (DE-588)4014894-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4014894-4 (DE-588)4044779-0 |
| title | Entropy and partial differential equations |
| title_auth | Entropy and partial differential equations |
| title_exact_search | Entropy and partial differential equations |
| title_full | Entropy and partial differential equations W. A. Day |
| title_fullStr | Entropy and partial differential equations W. A. Day |
| title_full_unstemmed | Entropy and partial differential equations W. A. Day |
| title_short | Entropy and partial differential equations |
| title_sort | entropy and partial differential equations |
| topic | Entropía - Modelos matemáticos Differential equations, Partial Entropy Entropie (DE-588)4014894-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Entropía - Modelos matemáticos Differential equations, Partial Entropy Entropie Partielle Differentialgleichung |
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