Navier-Stokes flow around a rotating obstacle : mathematical analysis of its asymptotic behavior /
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| Author / Creator: | Nečasová, Šárka, author. |
|---|---|
| Imprint: | Paris, France : Atlantis Press, [2016] |
| Description: | 1 online resource (x, 96 pages) |
| Language: | English |
| Series: | Atlantis briefs in differential equations ; volume 3 Atlantis briefs in differential equations ; v. 3. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11267563 |
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| 100 | 1 | |a Nečasová, Šárka, |e author. |0 http://id.loc.gov/authorities/names/no2012075826 | |
| 245 | 1 | 0 | |a Navier-Stokes flow around a rotating obstacle : |b mathematical analysis of its asymptotic behavior / |c Šárka Nečasová, Stanislav Kračmar. |
| 264 | 1 | |a Paris, France : |b Atlantis Press, |c [2016] | |
| 300 | |a 1 online resource (x, 96 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |b PDF | ||
| 347 | |a text file | ||
| 490 | 1 | |a Atlantis briefs in differential equations ; |v volume 3 | |
| 504 | |a Includes bibliographical references (pages 91-93). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |6 880-01 |a 1. Introduction -- 2. Formulation of the problem -- 3 Fundamental solution of the evolution problem -- 4 Fundamental solution of the stationary problem -- 5 Representation formula -- 6 Asymptotic behavior -- 7 Leray solution -- 8 The latest results. | |
| 520 | |a The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them. The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations. | ||
| 650 | 0 | |a Navier-Stokes equations. |0 http://id.loc.gov/authorities/subjects/sh85090420 | |
| 650 | 0 | |a Viscous flow. |0 http://id.loc.gov/authorities/subjects/sh85143860 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Navier-Stokes equations. |2 fast |0 (OCoLC)fst01035071 | |
| 650 | 7 | |a Viscous flow. |2 fast |0 (OCoLC)fst01167826 | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Ordinary Differential Equations. |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Kráčmar, Stanislav, |e author. |0 http://id.loc.gov/authorities/names/n81064909 | |
| 776 | 0 | 8 | |i Print version: |t Navier - Stokes Flow Around a Rotating Obstacle. |d [Place of publication not identified] : Atlantis Pr 2017 |z 9789462392304 |w (OCoLC)956686431 |
| 830 | 0 | |a Atlantis briefs in differential equations ; |v v. 3. |0 http://id.loc.gov/authorities/names/no2015110147 | |
| 880 | 0 | 0 | |6 505-01/(S |g Machine generated contents note: |g 1. |t Introduction -- |g 2. |t Formulation of the Problem -- |g 2.1. |t Notations, Definitions and Auxiliary Results -- |g 3. |t Fundamental Solution of the Evolution Problem -- |g 3.1. |t Fundamental Solution of the Non-steady "Rotating" Oseen Problem -- |g 3.2. |t Basic Properties of the Fundamental Solution -- |g 3.3. |t Further Properties of Γjk -- |g 3.3.1. |t Technical Lemmas -- |g 3.3.2. |t Pointwise Estimates of Γjk -- |g 4. |t Fundamental Solution of the Stationary Problem -- |g 5. |t Representation Formula -- |g 5.1. |t Heuristic Approach -- |g 5.2. |t Mathematical Preliminaries to the Representation Formula -- |g 5.3. |t Derivation of the Representation Formula -- |g 6. |t Asymptotic Behavior -- |g 6.1. |t Some Volume Potentials -- |g 6.2. |t Asymptotic Profile -- |g 6.3. |t Representation Formula for the Navier--Stokes System -- |g 6.4. |t Asymptotic Profile of the Gradient of the Velocity Field -- |g 6.5. |t Decay Estimates of the Second Derivatives of the Velocity -- |g 7. |t Leray Solution -- |g 7.1. |t Introduction -- |g 7.2. |t Auxiliary Results -- |g 7.3. |t Representation Formula for the Leray solution -- |g 7.4. |t Asymptotic Profile of the Linear Case -- |g 7.5. |t Representation Formula for the Nonlinear Case -- |g 8. |t Latest Results -- |g 8.1. |t Statement of the Main Result. |
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| 928 | |t Library of Congress classification |a QA374 .N43 2016eb |l Online |c UC-FullText |u https://link.springer.com/10.2991/978-94-6239-231-1 |z Springer Nature |g ebooks |i 12541749 | ||