Mathematical study of the betaplane model: equatorial waves and convergence results
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English French |
| Veröffentlicht: |
Paris
Société Mathématique de France
2006 [erschienen] 2007
|
| Schriftenreihe: | Mémoires de la SMF
107 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zsfassung in engl. und franz. Sprache |
| Beschreibung: | 116 S. graph. Darst. |
| ISBN: | 9782856292280 |
Internformat
MARC
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| 020 | |a 9782856292280 |9 978-2-85629-228-0 | ||
| 024 | 3 | |a 9782856292280 | |
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| 100 | 1 | |a Gallagher, Isabelle |d 1973- |e Verfasser |0 (DE-588)135780535 |4 aut | |
| 245 | 1 | 0 | |a Mathematical study of the betaplane model |b equatorial waves and convergence results |c Isabelle Gallagher ; Laure Saint-Raymond |
| 264 | 1 | |a Paris |b Société Mathématique de France |c 2006 [erschienen] 2007 | |
| 300 | |a 116 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mémoires de la SMF |v 107 | |
| 500 | |a Zsfassung in engl. und franz. Sprache | ||
| 650 | 0 | 7 | |a Rotierende Flüssigkeit |0 (DE-588)4124081-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Meer |0 (DE-588)4038301-5 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Saint-Raymond, Laure |e Verfasser |0 (DE-588)135780594 |4 aut | |
| 830 | 0 | |a Mémoires de la SMF |v 107 |w (DE-604)BV000000921 |9 107 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016553781&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-016553781 | |
Datensatz im Suchindex
| _version_ | 1812981241927958528 |
|---|---|
| adam_text |
CONTENTS
1.
Introduction
. 1
1.1.
Physical phenomenon observed in the equatorial zone of the earth
. 2
1.2.
A mathematical model for the ocean in the equatorial zone
. 3
1.3.
Some orders of magnitude in the equatorial zone
. 4
1.4.
The Cauchy problem for the
betaplane
model
. 5
1.5.
Structure of the paper
. 7
2.
Equatorial waves
. 9
2.1.
The geostrophic constraint
. 0
2.2.
Description of the waves
. 11
2.3.
The filtering operator and the formal limit system
. 22
2.4.
Interactions between equatorial waves
. 24
3.
The envelope equations
. 33
3.1 ·
Definition of suitable functional spaces
. 33
3.2.
Statement of the wellposedness result
. 36
3.3.
Preliminary results
. 37
3.4.
Proof of Theorem
2 . 46
3.5.
Proof of Theorem
3 . 57
3.6.
A regularity result for the divergence
. 60
4.
Convergence results
. 65
4.1.
Weak convergence of weak solutions
. 66
4.2.
Strong convergence of filtered weak solutions towards a strong solution
. 76
4.3.
Strong convergence of filtered weak solutions towards a weak solution
. 90
Bibliography
.
Ill
Notation Index
. 115 |
| adam_txt |
CONTENTS
1.
Introduction
. 1
1.1.
Physical phenomenon observed in the equatorial zone of the earth
. 2
1.2.
A mathematical model for the ocean in the equatorial zone
. 3
1.3.
Some orders of magnitude in the equatorial zone
. 4
1.4.
The Cauchy problem for the
betaplane
model
. 5
1.5.
Structure of the paper
. 7
2.
Equatorial waves
. 9
2.1.
The geostrophic constraint
. 0
2.2.
Description of the waves
. 11
2.3.
The filtering operator and the formal limit system
. 22
2.4.
Interactions between equatorial waves
. 24
3.
The envelope equations
. 33
3.1 ·
Definition of suitable functional spaces
. 33
3.2.
Statement of the wellposedness result
. 36
3.3.
Preliminary results
. 37
3.4.
Proof of Theorem
2 . 46
3.5.
Proof of Theorem
3 . 57
3.6.
A regularity result for the divergence
. 60
4.
Convergence results
. 65
4.1.
Weak convergence of weak solutions
. 66
4.2.
Strong convergence of filtered weak solutions towards a strong solution
. 76
4.3.
Strong convergence of filtered weak solutions towards a weak solution
. 90
Bibliography
.
Ill
Notation Index
. 115 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
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| id | DE-604.BV023370514 |
| illustrated | Illustrated |
| index_date | 2024-07-02T21:12:25Z |
| indexdate | 2024-10-15T12:00:46Z |
| institution | BVB |
| isbn | 9782856292280 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016553781 |
| oclc_num | 315808984 |
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| physical | 116 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Société Mathématique de France |
| record_format | marc |
| series | Mémoires de la SMF |
| series2 | Mémoires de la SMF |
| spelling | Gallagher, Isabelle 1973- Verfasser (DE-588)135780535 aut Mathematical study of the betaplane model equatorial waves and convergence results Isabelle Gallagher ; Laure Saint-Raymond Paris Société Mathématique de France 2006 [erschienen] 2007 116 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mémoires de la SMF 107 Zsfassung in engl. und franz. Sprache Rotierende Flüssigkeit (DE-588)4124081-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Meer (DE-588)4038301-5 gnd rswk-swf Meer (DE-588)4038301-5 s Rotierende Flüssigkeit (DE-588)4124081-9 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Saint-Raymond, Laure Verfasser (DE-588)135780594 aut Mémoires de la SMF 107 (DE-604)BV000000921 107 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016553781&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gallagher, Isabelle 1973- Saint-Raymond, Laure Mathematical study of the betaplane model equatorial waves and convergence results Mémoires de la SMF Rotierende Flüssigkeit (DE-588)4124081-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Meer (DE-588)4038301-5 gnd |
| subject_GND | (DE-588)4124081-9 (DE-588)4114528-8 (DE-588)4038301-5 |
| title | Mathematical study of the betaplane model equatorial waves and convergence results |
| title_auth | Mathematical study of the betaplane model equatorial waves and convergence results |
| title_exact_search | Mathematical study of the betaplane model equatorial waves and convergence results |
| title_exact_search_txtP | Mathematical study of the betaplane model equatorial waves and convergence results |
| title_full | Mathematical study of the betaplane model equatorial waves and convergence results Isabelle Gallagher ; Laure Saint-Raymond |
| title_fullStr | Mathematical study of the betaplane model equatorial waves and convergence results Isabelle Gallagher ; Laure Saint-Raymond |
| title_full_unstemmed | Mathematical study of the betaplane model equatorial waves and convergence results Isabelle Gallagher ; Laure Saint-Raymond |
| title_short | Mathematical study of the betaplane model |
| title_sort | mathematical study of the betaplane model equatorial waves and convergence results |
| title_sub | equatorial waves and convergence results |
| topic | Rotierende Flüssigkeit (DE-588)4124081-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Meer (DE-588)4038301-5 gnd |
| topic_facet | Rotierende Flüssigkeit Mathematisches Modell Meer |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016553781&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000921 |
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