An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Volume I: Linearised Steady Problems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1994
|
| Ausgabe: | Revised Edition |
| Schriftenreihe: | Springer Tracts in Natural Philosophy
38 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Undoubtedly, the Navier-Stokes equations are of basic importance within the context of modern theory of partial differential equations. Although the range of their applicability to concrete problems has now been clearly recognised to be limited, as my dear friend and bright colleague K.R. Rajagopal has showed me by several examples during the past six years, the mathematical questions that remain open are of such a fascinating and challenging nature that analysts and applied mathematicians cannot help being attracted by them and trying to contribute to their resolution. Thus, it is not a coincidence that over the past ten years more than seventy significant research papers have appeared concerning the well-posedness of boundary and initial-boundary value problems. In this monograph I shall perform a systematic and up-to-date investigation of the fundamental properties of the Navier-Stokes equations, including existence, uniqueness, and regularity of solutions and, whenever the region of flow is unbounded, of their spatial asymptotic behavior. I shall omit other relevant topics like boundary layer theory, stability, bifurcation, detailed analysis of the behavior for large times, and free-boundary problems, which are to be considered "advanced" ones. In this sense the present work should be regarded as "introductory" to the matter |
| Beschreibung: | 1 Online-Ressource (XIII, 465 p) |
| ISBN: | 9781475738667 9781475738681 |
| ISSN: | 0081-3877 |
| DOI: | 10.1007/978-1-4757-3866-7 |
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| 500 | |a Undoubtedly, the Navier-Stokes equations are of basic importance within the context of modern theory of partial differential equations. Although the range of their applicability to concrete problems has now been clearly recognised to be limited, as my dear friend and bright colleague K.R. Rajagopal has showed me by several examples during the past six years, the mathematical questions that remain open are of such a fascinating and challenging nature that analysts and applied mathematicians cannot help being attracted by them and trying to contribute to their resolution. Thus, it is not a coincidence that over the past ten years more than seventy significant research papers have appeared concerning the well-posedness of boundary and initial-boundary value problems. In this monograph I shall perform a systematic and up-to-date investigation of the fundamental properties of the Navier-Stokes equations, including existence, uniqueness, and regularity of solutions and, whenever the region of flow is unbounded, of their spatial asymptotic behavior. I shall omit other relevant topics like boundary layer theory, stability, bifurcation, detailed analysis of the behavior for large times, and free-boundary problems, which are to be considered "advanced" ones. In this sense the present work should be regarded as "introductory" to the matter | ||
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| id | DE-604.BV042421538 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475738667 9781475738681 |
| issn | 0081-3877 |
| language | English |
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| spelling | Galdi, Giovanni P. 1947- Verfasser (DE-588)11089152X aut An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume I: Linearised Steady Problems by Giovanni P. Galdi Revised Edition New York, NY Springer New York 1994 1 Online-Ressource (XIII, 465 p) txt rdacontent c rdamedia cr rdacarrier Springer Tracts in Natural Philosophy 38 0081-3877 Undoubtedly, the Navier-Stokes equations are of basic importance within the context of modern theory of partial differential equations. Although the range of their applicability to concrete problems has now been clearly recognised to be limited, as my dear friend and bright colleague K.R. Rajagopal has showed me by several examples during the past six years, the mathematical questions that remain open are of such a fascinating and challenging nature that analysts and applied mathematicians cannot help being attracted by them and trying to contribute to their resolution. Thus, it is not a coincidence that over the past ten years more than seventy significant research papers have appeared concerning the well-posedness of boundary and initial-boundary value problems. In this monograph I shall perform a systematic and up-to-date investigation of the fundamental properties of the Navier-Stokes equations, including existence, uniqueness, and regularity of solutions and, whenever the region of flow is unbounded, of their spatial asymptotic behavior. I shall omit other relevant topics like boundary layer theory, stability, bifurcation, detailed analysis of the behavior for large times, and free-boundary problems, which are to be considered "advanced" ones. In this sense the present work should be regarded as "introductory" to the matter Physics Mathematics Global analysis (Mathematics) Thermodynamics Theoretical, Mathematical and Computational Physics Analysis Mathematics, general Mathematik Springer Tracts in Natural Philosophy 38 (DE-604)BV045251612 38 https://doi.org/10.1007/978-1-4757-3866-7 Verlag Volltext |
| spellingShingle | Galdi, Giovanni P. 1947- An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume I: Linearised Steady Problems Springer Tracts in Natural Philosophy Physics Mathematics Global analysis (Mathematics) Thermodynamics Theoretical, Mathematical and Computational Physics Analysis Mathematics, general Mathematik |
| title | An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume I: Linearised Steady Problems |
| title_auth | An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume I: Linearised Steady Problems |
| title_exact_search | An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume I: Linearised Steady Problems |
| title_full | An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume I: Linearised Steady Problems by Giovanni P. Galdi |
| title_fullStr | An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume I: Linearised Steady Problems by Giovanni P. Galdi |
| title_full_unstemmed | An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume I: Linearised Steady Problems by Giovanni P. Galdi |
| title_short | An Introduction to the Mathematical Theory of the Navier-Stokes Equations |
| title_sort | an introduction to the mathematical theory of the navier stokes equations volume i linearised steady problems |
| title_sub | Volume I: Linearised Steady Problems |
| topic | Physics Mathematics Global analysis (Mathematics) Thermodynamics Theoretical, Mathematical and Computational Physics Analysis Mathematics, general Mathematik |
| topic_facet | Physics Mathematics Global analysis (Mathematics) Thermodynamics Theoretical, Mathematical and Computational Physics Analysis Mathematics, general Mathematik |
| url | https://doi.org/10.1007/978-1-4757-3866-7 |
| volume_link | (DE-604)BV045251612 |
| work_keys_str_mv | AT galdigiovannip anintroductiontothemathematicaltheoryofthenavierstokesequationsvolumeilinearisedsteadyproblems |