Infinite-dimensional dynamical systems in atmospheric and oceanic science /:
The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject o...
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English Chinese |
| Veröffentlicht: |
New Jersey :
World Scientific,
2014.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given. |
| Beschreibung: | Translated from Chinese. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789814590389 981459038X |
Internformat
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| 100 | 1 | |a Guo, Boling. | |
| 245 | 1 | 0 | |a Infinite-dimensional dynamical systems in atmospheric and oceanic science / |c by Boling Guo & Daiwen Huang (Institute of Applied Physics and Computational Mathematics, China). |
| 264 | 1 | |a New Jersey : |b World Scientific, |c 2014. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 500 | |a Translated from Chinese. | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 1. Nonlinear equations of the atmospheric and the oceanic motions. 1.1. Basic equations of the atmospheric and the oceanic motions. 1.2. Equations of the atmosphere and the oceans in the sphere coordinate frame. 1.3. Equations of the atmosphere in atmospheric pressure coordinate frame. 1.4. Equations of the atmosphere in the topography coordinate frame. 1.5. Equations of the atmosphere and the oceans in local rectangular coordinate frame under [beta symbol]-plane approximation. 1.6. Equations of the atmosphere and the oceans under satification approximation. 1.7. Boundary conditions -- 2. Some quasi-geostrophic models. 2.1 The barotropic model and the two-dimensional quasi-geostrophic equation. 2.2. Three-dimensional quasi-geostrophic equation. 2.3. The multi-layer quasi-geostrophic model. 2.4. The surface quasi-geostrophic equation -- 3. Well-posedness and global attractors of the primitive equations. 3.1. Existence of weak solutions and trajectory attractors of the moist atmospheric equations. 3.2. Long-time behavior of the strong solutions of the primitive equations of the large-scale moist atmosphere. 3.3. The global well-posedness of the primitive equations. 3.4. Global well-posedness of primitive equations of the oceans -- 4. Random dynamical systems of atmosphere and ocean. 4.1. Random attractors of two-dimensional quasi-geostrophic dynamical system. 4.2. Global well-posedness and attractors of 3D stochastic primitive equations of the large-scale oceans. 4.3. The primitive equations of large-scale oceans with random boundary -- 5. Stability and instability theory. 5.1 Stability and instability of gravity waves. 5.2. Instability of Rossby waves. 5.3. Stability of Rossby waves. 5.4. Critical Rayleigh number of Rayleigh-Benard convection. | |
| 520 | |a The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given. | ||
| 650 | 0 | |a Atmospheric circulation. |0 http://id.loc.gov/authorities/subjects/sh85009281 | |
| 650 | 0 | |a Dynamic meteorology. |0 http://id.loc.gov/authorities/subjects/sh85040311 | |
| 650 | 0 | |a Marine sciences. |0 http://id.loc.gov/authorities/subjects/sh85081263 | |
| 650 | 6 | |a Circulation atmosphérique. | |
| 650 | 6 | |a Météorologie dynamique. | |
| 650 | 6 | |a Sciences de la mer. | |
| 650 | 7 | |a SCIENCE |x Earth Sciences |x Geography. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Earth Sciences |x Geology. |2 bisacsh | |
| 650 | 7 | |a Atmospheric circulation |2 fast | |
| 650 | 7 | |a Dynamic meteorology |2 fast | |
| 650 | 7 | |a Marine sciences |2 fast | |
| 700 | 1 | |a Huang, Daiwen. | |
| 758 | |i has work: |a Infinite-dimensional systems in atmospheric and oceanic science (Text) |1 https://id.oclc.org/worldcat/entity/E39PCXm9HyY6KbRcPg7gVgYc3j |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Guo, Boling. |t Infinite-dimensional dynamical systems in atmospheric and oceanic science |z 9789814590372 |w (DLC) 2013050767 |w (OCoLC)867001262 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn880147543 |
|---|---|
| _version_ | 1816882272370950144 |
| adam_text | |
| any_adam_object | |
| author | Guo, Boling |
| author2 | Huang, Daiwen |
| author2_role | |
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| author_facet | Guo, Boling Huang, Daiwen |
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| callnumber-label | QC880 |
| callnumber-raw | QC880.4.A8 G86 2014eb |
| callnumber-search | QC880.4.A8 G86 2014eb |
| callnumber-sort | QC 3880.4 A8 G86 42014EB |
| callnumber-subject | QC - Physics |
| collection | ZDB-4-EBA |
| contents | 1. Nonlinear equations of the atmospheric and the oceanic motions. 1.1. Basic equations of the atmospheric and the oceanic motions. 1.2. Equations of the atmosphere and the oceans in the sphere coordinate frame. 1.3. Equations of the atmosphere in atmospheric pressure coordinate frame. 1.4. Equations of the atmosphere in the topography coordinate frame. 1.5. Equations of the atmosphere and the oceans in local rectangular coordinate frame under [beta symbol]-plane approximation. 1.6. Equations of the atmosphere and the oceans under satification approximation. 1.7. Boundary conditions -- 2. Some quasi-geostrophic models. 2.1 The barotropic model and the two-dimensional quasi-geostrophic equation. 2.2. Three-dimensional quasi-geostrophic equation. 2.3. The multi-layer quasi-geostrophic model. 2.4. The surface quasi-geostrophic equation -- 3. Well-posedness and global attractors of the primitive equations. 3.1. Existence of weak solutions and trajectory attractors of the moist atmospheric equations. 3.2. Long-time behavior of the strong solutions of the primitive equations of the large-scale moist atmosphere. 3.3. The global well-posedness of the primitive equations. 3.4. Global well-posedness of primitive equations of the oceans -- 4. Random dynamical systems of atmosphere and ocean. 4.1. Random attractors of two-dimensional quasi-geostrophic dynamical system. 4.2. Global well-posedness and attractors of 3D stochastic primitive equations of the large-scale oceans. 4.3. The primitive equations of large-scale oceans with random boundary -- 5. Stability and instability theory. 5.1 Stability and instability of gravity waves. 5.2. Instability of Rossby waves. 5.3. Stability of Rossby waves. 5.4. Critical Rayleigh number of Rayleigh-Benard convection. |
| ctrlnum | (OCoLC)880147543 |
| dewey-full | 551.4601/185 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551.4601/185 |
| dewey-search | 551.4601/185 |
| dewey-sort | 3551.4601 3185 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie |
| format | Electronic eBook |
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Nonlinear equations of the atmospheric and the oceanic motions. 1.1. Basic equations of the atmospheric and the oceanic motions. 1.2. Equations of the atmosphere and the oceans in the sphere coordinate frame. 1.3. Equations of the atmosphere in atmospheric pressure coordinate frame. 1.4. Equations of the atmosphere in the topography coordinate frame. 1.5. Equations of the atmosphere and the oceans in local rectangular coordinate frame under [beta symbol]-plane approximation. 1.6. Equations of the atmosphere and the oceans under satification approximation. 1.7. Boundary conditions -- 2. Some quasi-geostrophic models. 2.1 The barotropic model and the two-dimensional quasi-geostrophic equation. 2.2. Three-dimensional quasi-geostrophic equation. 2.3. The multi-layer quasi-geostrophic model. 2.4. The surface quasi-geostrophic equation -- 3. Well-posedness and global attractors of the primitive equations. 3.1. Existence of weak solutions and trajectory attractors of the moist atmospheric equations. 3.2. Long-time behavior of the strong solutions of the primitive equations of the large-scale moist atmosphere. 3.3. The global well-posedness of the primitive equations. 3.4. Global well-posedness of primitive equations of the oceans -- 4. Random dynamical systems of atmosphere and ocean. 4.1. Random attractors of two-dimensional quasi-geostrophic dynamical system. 4.2. Global well-posedness and attractors of 3D stochastic primitive equations of the large-scale oceans. 4.3. The primitive equations of large-scale oceans with random boundary -- 5. Stability and instability theory. 5.1 Stability and instability of gravity waves. 5.2. Instability of Rossby waves. 5.3. Stability of Rossby waves. 5.4. 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| id | ZDB-4-EBA-ocn880147543 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:59Z |
| institution | BVB |
| isbn | 9789814590389 981459038X |
| language | English Chinese |
| oclc_num | 880147543 |
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| record_format | marc |
| spelling | Guo, Boling. Infinite-dimensional dynamical systems in atmospheric and oceanic science / by Boling Guo & Daiwen Huang (Institute of Applied Physics and Computational Mathematics, China). New Jersey : World Scientific, 2014. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Translated from Chinese. Includes bibliographical references. Print version record. 1. Nonlinear equations of the atmospheric and the oceanic motions. 1.1. Basic equations of the atmospheric and the oceanic motions. 1.2. Equations of the atmosphere and the oceans in the sphere coordinate frame. 1.3. Equations of the atmosphere in atmospheric pressure coordinate frame. 1.4. Equations of the atmosphere in the topography coordinate frame. 1.5. Equations of the atmosphere and the oceans in local rectangular coordinate frame under [beta symbol]-plane approximation. 1.6. Equations of the atmosphere and the oceans under satification approximation. 1.7. Boundary conditions -- 2. Some quasi-geostrophic models. 2.1 The barotropic model and the two-dimensional quasi-geostrophic equation. 2.2. Three-dimensional quasi-geostrophic equation. 2.3. The multi-layer quasi-geostrophic model. 2.4. The surface quasi-geostrophic equation -- 3. Well-posedness and global attractors of the primitive equations. 3.1. Existence of weak solutions and trajectory attractors of the moist atmospheric equations. 3.2. Long-time behavior of the strong solutions of the primitive equations of the large-scale moist atmosphere. 3.3. The global well-posedness of the primitive equations. 3.4. Global well-posedness of primitive equations of the oceans -- 4. Random dynamical systems of atmosphere and ocean. 4.1. Random attractors of two-dimensional quasi-geostrophic dynamical system. 4.2. Global well-posedness and attractors of 3D stochastic primitive equations of the large-scale oceans. 4.3. The primitive equations of large-scale oceans with random boundary -- 5. Stability and instability theory. 5.1 Stability and instability of gravity waves. 5.2. Instability of Rossby waves. 5.3. Stability of Rossby waves. 5.4. Critical Rayleigh number of Rayleigh-Benard convection. The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given. Atmospheric circulation. http://id.loc.gov/authorities/subjects/sh85009281 Dynamic meteorology. http://id.loc.gov/authorities/subjects/sh85040311 Marine sciences. http://id.loc.gov/authorities/subjects/sh85081263 Circulation atmosphérique. Météorologie dynamique. Sciences de la mer. SCIENCE Earth Sciences Geography. bisacsh SCIENCE Earth Sciences Geology. bisacsh Atmospheric circulation fast Dynamic meteorology fast Marine sciences fast Huang, Daiwen. has work: Infinite-dimensional systems in atmospheric and oceanic science (Text) https://id.oclc.org/worldcat/entity/E39PCXm9HyY6KbRcPg7gVgYc3j https://id.oclc.org/worldcat/ontology/hasWork Print version: Guo, Boling. Infinite-dimensional dynamical systems in atmospheric and oceanic science 9789814590372 (DLC) 2013050767 (OCoLC)867001262 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=779670 Volltext |
| spellingShingle | Guo, Boling Infinite-dimensional dynamical systems in atmospheric and oceanic science / 1. Nonlinear equations of the atmospheric and the oceanic motions. 1.1. Basic equations of the atmospheric and the oceanic motions. 1.2. Equations of the atmosphere and the oceans in the sphere coordinate frame. 1.3. Equations of the atmosphere in atmospheric pressure coordinate frame. 1.4. Equations of the atmosphere in the topography coordinate frame. 1.5. Equations of the atmosphere and the oceans in local rectangular coordinate frame under [beta symbol]-plane approximation. 1.6. Equations of the atmosphere and the oceans under satification approximation. 1.7. Boundary conditions -- 2. Some quasi-geostrophic models. 2.1 The barotropic model and the two-dimensional quasi-geostrophic equation. 2.2. Three-dimensional quasi-geostrophic equation. 2.3. The multi-layer quasi-geostrophic model. 2.4. The surface quasi-geostrophic equation -- 3. Well-posedness and global attractors of the primitive equations. 3.1. Existence of weak solutions and trajectory attractors of the moist atmospheric equations. 3.2. Long-time behavior of the strong solutions of the primitive equations of the large-scale moist atmosphere. 3.3. The global well-posedness of the primitive equations. 3.4. Global well-posedness of primitive equations of the oceans -- 4. Random dynamical systems of atmosphere and ocean. 4.1. Random attractors of two-dimensional quasi-geostrophic dynamical system. 4.2. Global well-posedness and attractors of 3D stochastic primitive equations of the large-scale oceans. 4.3. The primitive equations of large-scale oceans with random boundary -- 5. Stability and instability theory. 5.1 Stability and instability of gravity waves. 5.2. Instability of Rossby waves. 5.3. Stability of Rossby waves. 5.4. Critical Rayleigh number of Rayleigh-Benard convection. Atmospheric circulation. http://id.loc.gov/authorities/subjects/sh85009281 Dynamic meteorology. http://id.loc.gov/authorities/subjects/sh85040311 Marine sciences. http://id.loc.gov/authorities/subjects/sh85081263 Circulation atmosphérique. Météorologie dynamique. Sciences de la mer. SCIENCE Earth Sciences Geography. bisacsh SCIENCE Earth Sciences Geology. bisacsh Atmospheric circulation fast Dynamic meteorology fast Marine sciences fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85009281 http://id.loc.gov/authorities/subjects/sh85040311 http://id.loc.gov/authorities/subjects/sh85081263 |
| title | Infinite-dimensional dynamical systems in atmospheric and oceanic science / |
| title_auth | Infinite-dimensional dynamical systems in atmospheric and oceanic science / |
| title_exact_search | Infinite-dimensional dynamical systems in atmospheric and oceanic science / |
| title_full | Infinite-dimensional dynamical systems in atmospheric and oceanic science / by Boling Guo & Daiwen Huang (Institute of Applied Physics and Computational Mathematics, China). |
| title_fullStr | Infinite-dimensional dynamical systems in atmospheric and oceanic science / by Boling Guo & Daiwen Huang (Institute of Applied Physics and Computational Mathematics, China). |
| title_full_unstemmed | Infinite-dimensional dynamical systems in atmospheric and oceanic science / by Boling Guo & Daiwen Huang (Institute of Applied Physics and Computational Mathematics, China). |
| title_short | Infinite-dimensional dynamical systems in atmospheric and oceanic science / |
| title_sort | infinite dimensional dynamical systems in atmospheric and oceanic science |
| topic | Atmospheric circulation. http://id.loc.gov/authorities/subjects/sh85009281 Dynamic meteorology. http://id.loc.gov/authorities/subjects/sh85040311 Marine sciences. http://id.loc.gov/authorities/subjects/sh85081263 Circulation atmosphérique. Météorologie dynamique. Sciences de la mer. SCIENCE Earth Sciences Geography. bisacsh SCIENCE Earth Sciences Geology. bisacsh Atmospheric circulation fast Dynamic meteorology fast Marine sciences fast |
| topic_facet | Atmospheric circulation. Dynamic meteorology. Marine sciences. Circulation atmosphérique. Météorologie dynamique. Sciences de la mer. SCIENCE Earth Sciences Geography. SCIENCE Earth Sciences Geology. Atmospheric circulation Dynamic meteorology Marine sciences |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=779670 |
| work_keys_str_mv | AT guoboling infinitedimensionaldynamicalsystemsinatmosphericandoceanicscience AT huangdaiwen infinitedimensionaldynamicalsystemsinatmosphericandoceanicscience |