Entropy and partial differential equations:
Saved in:
Main Author: | |
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Format: | Book |
Language: | English |
Published: |
Harlow, Essex
Longman Scientific & Technical
1993
|
Edition: | 1. publ. |
Series: | Pitman research notes in mathematics series
295 |
Subjects: | |
Links: | 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 |
Physical Description: | XIV, 108 S. |
ISBN: | 0582229286 0470233591 |
Staff View
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Record in the Search Index
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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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any_adam_object | 1 |
author | Day, William A. |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 1. publ. |
format | Book |
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id | DE-604.BV008849078 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T09:28:03Z |
institution | BVB |
isbn | 0582229286 0470233591 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005850952 |
oclc_num | 28183193 |
open_access_boolean | |
owner | DE-12 DE-384 DE-91G DE-BY-TUM DE-739 DE-19 DE-BY-UBM DE-634 DE-188 |
owner_facet | DE-12 DE-384 DE-91G DE-BY-TUM DE-739 DE-19 DE-BY-UBM DE-634 DE-188 |
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 |
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 |
url | 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 |
volume_link | (DE-604)BV000022845 |
work_keys_str_mv | AT daywilliama entropyandpartialdifferentialequations |
Table of Contents
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Branch Library Mathematics & Informatics
Call Number: |
0102 MTA 650f 2001 A 12221
Floor plan 0102 MTA 650f 2001 A 12222 Floor plan |
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Copy 1 | Available for loan On Shelf |
Copy 2 | Available for loan On Shelf |