The three-dimensional Navier–Stokes equations classical theory
A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier–Stokes equations, this book provides self-contained proofs of someof the most significant results in the area, many of which can only be found in researchpapers. Highlights include the existence of glob...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge, United Kingdom
Cambridge University Press
2016
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| Schriftenreihe: | Cambridge studies in advanced mathematics
157 |
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| 245 | 1 | 0 | |a The three-dimensional Navier–Stokes equations |b classical theory |c James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (University of Warsaw) |
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| 500 | |a Title from publisher's bibliographic system (viewed on 07 Sep 2016) | ||
| 520 | |a A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier–Stokes equations, this book provides self-contained proofs of someof the most significant results in the area, many of which can only be found in researchpapers. Highlights include the existence of global-in-time Leray–Hopf weak solutionsand the local existence of strong solutions; the conditional local regularity results ofSerrin and others; and the partial regularity results of Caffarelli, Kohn, and Nirenberg.Appendices provide background material and proofs of some 'standard results' thatare hard to find in the literature. A substantial number of exercises are included, with fullsolutions given at the end of the book. As the only introductory text on the topic to treatall of the mainstream results in detail, this book is an ideal text for a graduate course ofone or two semesters. It is also a useful resource for anyone working in mathematicalfluid dynamics | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Robinson, James C. 1969- |
| author_GND | (DE-588)143220004 (DE-588)111500977X (DE-588)140503099 |
| author_facet | Robinson, James C. 1969- |
| author_role | aut |
| author_sort | Robinson, James C. 1969- |
| author_variant | j c r jc jcr |
| building | Verbundindex |
| bvnumber | BV043940070 |
| classification_rvk | SK 540 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781139095143 (OCoLC)967678499 (DE-599)BVBBV043940070 |
| dewey-full | 515.353 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139095143 |
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| id | DE-604.BV043940070 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T05:33:56Z |
| institution | BVB |
| isbn | 9781139095143 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349041 |
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| publishDate | 2016 |
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| publisher | Cambridge University Press |
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| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Robinson, James C. 1969- Verfasser (DE-588)143220004 aut The three-dimensional Navier–Stokes equations classical theory James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (University of Warsaw) Cambridge, United Kingdom Cambridge University Press 2016 1 Online-Ressource (xiv, 471 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 157 Title from publisher's bibliographic system (viewed on 07 Sep 2016) A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier–Stokes equations, this book provides self-contained proofs of someof the most significant results in the area, many of which can only be found in researchpapers. Highlights include the existence of global-in-time Leray–Hopf weak solutionsand the local existence of strong solutions; the conditional local regularity results ofSerrin and others; and the partial regularity results of Caffarelli, Kohn, and Nirenberg.Appendices provide background material and proofs of some 'standard results' thatare hard to find in the literature. A substantial number of exercises are included, with fullsolutions given at the end of the book. As the only introductory text on the topic to treatall of the mainstream results in detail, this book is an ideal text for a graduate course ofone or two semesters. It is also a useful resource for anyone working in mathematicalfluid dynamics Navier-Stokes equations Dreidimensionale Strömung (DE-588)4150635-2 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 s Dreidimensionale Strömung (DE-588)4150635-2 s 1\p DE-604 Rodrigo, José L. Sonstige (DE-588)111500977X oth Sadowski, Witold 1973- Sonstige (DE-588)140503099 oth Erscheint auch als Druck-Ausgabe, Hardcover 978-1-107-01966-9 Cambridge studies in advanced mathematics 157 (DE-604)BV044781283 157 https://doi.org/10.1017/CBO9781139095143 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Robinson, James C. 1969- The three-dimensional Navier–Stokes equations classical theory Cambridge studies in advanced mathematics Navier-Stokes equations Dreidimensionale Strömung (DE-588)4150635-2 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| subject_GND | (DE-588)4150635-2 (DE-588)4041456-5 |
| title | The three-dimensional Navier–Stokes equations classical theory |
| title_auth | The three-dimensional Navier–Stokes equations classical theory |
| title_exact_search | The three-dimensional Navier–Stokes equations classical theory |
| title_full | The three-dimensional Navier–Stokes equations classical theory James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (University of Warsaw) |
| title_fullStr | The three-dimensional Navier–Stokes equations classical theory James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (University of Warsaw) |
| title_full_unstemmed | The three-dimensional Navier–Stokes equations classical theory James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (University of Warsaw) |
| title_short | The three-dimensional Navier–Stokes equations |
| title_sort | the three dimensional navier stokes equations classical theory |
| title_sub | classical theory |
| topic | Navier-Stokes equations Dreidimensionale Strömung (DE-588)4150635-2 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| topic_facet | Navier-Stokes equations Dreidimensionale Strömung Navier-Stokes-Gleichung |
| url | https://doi.org/10.1017/CBO9781139095143 |
| volume_link | (DE-604)BV044781283 |
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