Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
157 |
| Links: | https://doi.org/10.1017/CBO9781139095143 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiv, 471 Seiten) |
| ISBN: | 9781139095143 |
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| 100 | 1 | |a Robinson, James C. |d 1969- | |
| 245 | 1 | 4 | |a The three-dimensional Navier-Stokes equations |b classical theory |c James C. Robinson, José L. Rodrigo, Witold Sadowski |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2016 | |
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 157 | |
| 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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| spelling | Robinson, James C. 1969- The three-dimensional Navier-Stokes equations classical theory James C. Robinson, José L. Rodrigo, Witold Sadowski Cambridge Cambridge University Press 2016 1 Online-Ressource (xiv, 471 Seiten) txt c cr Cambridge studies in advanced mathematics 157 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. Rodrigo, José L. Sadowski, Witold Erscheint auch als Druck-Ausgabe 9781107019669 |
| spellingShingle | Robinson, James C. 1969- The three-dimensional Navier-Stokes equations classical theory |
| 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, José L. Rodrigo, Witold Sadowski |
| title_fullStr | The three-dimensional Navier-Stokes equations classical theory James C. Robinson, José L. Rodrigo, Witold Sadowski |
| title_full_unstemmed | The three-dimensional Navier-Stokes equations classical theory James C. Robinson, José L. Rodrigo, Witold Sadowski |
| title_short | The three-dimensional Navier-Stokes equations |
| title_sort | three dimensional navier stokes equations classical theory |
| title_sub | classical theory |
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