Hyperbolic systems of conservation laws: the one-dimensional Cauchy problem
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2005
|
| Edition: | Reprint. |
| Series: | Oxford lecture series in mathematics and its applications
20 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 250 S. graph. Darst. |
| ISBN: | 0198507003 |
Staff View
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| 245 | 1 | 0 | |a Hyperbolic systems of conservation laws |b the one-dimensional Cauchy problem |c Alberto Bressan |
| 250 | |a Reprint. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2005 | |
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| 650 | 4 | |a Erhaltungssatz - Cauchy-Anfangswertproblem | |
| 650 | 4 | |a Cauchy problem | |
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| 650 | 0 | 7 | |a Erhaltungssatz |0 (DE-588)4131214-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hyperbolische Differentialgleichung |0 (DE-588)4131213-2 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804134593155039232 |
|---|---|
| adam_text | Contents
1
1
2
6
2.1
Implicit function theorems
7
2.2
Some linear algebra
7
2.3
Distributions
9
2.4
Functions with bounded variation
11
2.5
BV functions of two variables
17
2.6
Fixed points of contractive maps
22
2.7
Differentiability of Lipschitz-continuous functions
23
2.8
Approximation of Lipschitz flows
25
2.9
Taylor estimates
27
2.10
Weak convergence of measures
32
2.11
Basic ODE theory
34
Problems
38
3
40
3.1
Explicit solutions
41
3.2
A single semilinear equation
42
3.3
The scalar
44
3.4
Semilinear systems: broad solutions
46
3.5
Continuity and continuous dependence of broad solutions
53
3.6
Classical solutions
57
3.7
Lipschitz solutions
62
3.8
Quasilinear
64
Problems
71
4
73
4.1
Weak solutions
73
4.2
Rankine-Hugoniot conditions
76
4.3
Coordinate transformations
80
4.4
Admissibility conditions
81
4.5
The scalar case
85
Problems
88
5
90
5.1
Centred rarefaction waves
91
5.2
Shocks
92
xii Contents
5.3 General
5.4
5.5
Problems
6
6.1
6.2
6.3
6.4
Problems
7
7.1
7.2
7.3
7.4
7.5
7.6
7.7
Problems
8
8.1
8.2
8.3
Problems
9
9.1
9.2
9.3
Problems
10
10.1
10.2
10.3
Problems
11
References
Index
|
| adam_txt |
Contents
1
1
2
6
2.1
Implicit function theorems
7
2.2
Some linear algebra
7
2.3
Distributions
9
2.4
Functions with bounded variation
11
2.5
BV functions of two variables
17
2.6
Fixed points of contractive maps
22
2.7
Differentiability of Lipschitz-continuous functions
23
2.8
Approximation of Lipschitz flows
25
2.9
Taylor estimates
27
2.10
Weak convergence of measures
32
2.11
Basic ODE theory
34
Problems
38
3
40
3.1
Explicit solutions
41
3.2
A single semilinear equation
42
3.3
The scalar
44
3.4
Semilinear systems: broad solutions
46
3.5
Continuity and continuous dependence of broad solutions
53
3.6
Classical solutions
57
3.7
Lipschitz solutions
62
3.8
Quasilinear
64
Problems
71
4
73
4.1
Weak solutions
73
4.2
Rankine-Hugoniot conditions
76
4.3
Coordinate transformations
80
4.4
Admissibility conditions
81
4.5
The scalar case
85
Problems
88
5
90
5.1
Centred rarefaction waves
91
5.2
Shocks
92
xii Contents
5.3 General
5.4
5.5
Problems
6
6.1
6.2
6.3
6.4
Problems
7
7.1
7.2
7.3
7.4
7.5
7.6
7.7
Problems
8
8.1
8.2
8.3
Problems
9
9.1
9.2
9.3
Problems
10
10.1
10.2
10.3
Problems
11
References
Index |
| any_adam_object | 1 |
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| author | Bressan, Alberto 1956- |
| author_GND | (DE-588)172009952 |
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| ctrlnum | (OCoLC)440602762 (DE-599)BVBBV020868522 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | Reprint. |
| format | Book |
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| id | DE-604.BV020868522 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:25:19Z |
| indexdate | 2024-07-09T20:27:04Z |
| institution | BVB |
| isbn | 0198507003 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014190309 |
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| owner_facet | DE-20 DE-355 DE-BY-UBR DE-29T |
| physical | XII, 250 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series | Oxford lecture series in mathematics and its applications |
| series2 | Oxford lecture series in mathematics and its applications |
| spelling | Bressan, Alberto 1956- Verfasser (DE-588)172009952 aut Hyperbolic systems of conservation laws the one-dimensional Cauchy problem Alberto Bressan Reprint. Oxford [u.a.] Oxford Univ. Press 2005 XII, 250 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford lecture series in mathematics and its applications 20 Erhaltungssatz - Cauchy-Anfangswertproblem Cauchy problem Conservation laws (Mathematics) Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 s Cauchy-Anfangswertproblem (DE-588)4147404-1 s Erhaltungssatz (DE-588)4131214-4 s DE-604 Oxford lecture series in mathematics and its applications 20 (DE-604)BV009910017 20 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014190309&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bressan, Alberto 1956- Hyperbolic systems of conservation laws the one-dimensional Cauchy problem Oxford lecture series in mathematics and its applications Erhaltungssatz - Cauchy-Anfangswertproblem Cauchy problem Conservation laws (Mathematics) Erhaltungssatz (DE-588)4131214-4 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd |
| subject_GND | (DE-588)4131214-4 (DE-588)4131213-2 (DE-588)4147404-1 |
| title | Hyperbolic systems of conservation laws the one-dimensional Cauchy problem |
| title_auth | Hyperbolic systems of conservation laws the one-dimensional Cauchy problem |
| title_exact_search | Hyperbolic systems of conservation laws the one-dimensional Cauchy problem |
| title_exact_search_txtP | Hyperbolic systems of conservation laws the one-dimensional Cauchy problem |
| title_full | Hyperbolic systems of conservation laws the one-dimensional Cauchy problem Alberto Bressan |
| title_fullStr | Hyperbolic systems of conservation laws the one-dimensional Cauchy problem Alberto Bressan |
| title_full_unstemmed | Hyperbolic systems of conservation laws the one-dimensional Cauchy problem Alberto Bressan |
| title_short | Hyperbolic systems of conservation laws |
| title_sort | hyperbolic systems of conservation laws the one dimensional cauchy problem |
| title_sub | the one-dimensional Cauchy problem |
| topic | Erhaltungssatz - Cauchy-Anfangswertproblem Cauchy problem Conservation laws (Mathematics) Erhaltungssatz (DE-588)4131214-4 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd |
| topic_facet | Erhaltungssatz - Cauchy-Anfangswertproblem Cauchy problem Conservation laws (Mathematics) Erhaltungssatz Hyperbolische Differentialgleichung Cauchy-Anfangswertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014190309&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009910017 |
| work_keys_str_mv | AT bressanalberto hyperbolicsystemsofconservationlawstheonedimensionalcauchyproblem |