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標(biāo)題: Titlebook: An Introduction to the Mathematical Theory of the Navier-Stokes Equations; Volume I: Linearised Giovanni P. Galdi Textbook 19941st edition [打印本頁]

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作者: Arboreal    時間: 2025-3-21 21:48
0081-3877 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, de- tailed analysis of the behavior for large ti978-1-4757-3866-7Series ISSN 0081-3877
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作者: 文藝    時間: 2025-3-22 05:28
https://doi.org/10.1007/978-1-4757-3866-7Navier-Stokes equation; dynamics; equation; fluid mechanics; function
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Springer Tracts in Natural Philosophyhttp://image.papertrans.cn/a/image/155571.jpg
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作者: dithiolethione    時間: 2025-3-23 00:46
Steady-State Solutions of the Navier-Stokes Equations: Statement of the Problem and Open Questions,Let us consider a viscous, homogeneous fluid . moving within the region Ω of the three-dimensional space ?..
作者: 斜    時間: 2025-3-23 01:55
Steady Stokes Flow in Bounded Domains, namely, that of a steady, indefinitely slow motion occurring in a bounded region Ω. The hypothesis of slow motion means that the ratio.of inertial to viscous forces is vanishingly small, so that we can disregard the nonlinear term into the full (steady) Navier-Stokes equations (I.0.3.).
作者: Moderate    時間: 2025-3-23 06:12
An Introduction to the Mathematical Theory of the Navier-Stokes Equations978-1-4757-3866-7Series ISSN 0081-3877
作者: FUME    時間: 2025-3-23 11:21
Messungen an verschiedenen Motortypen, namely, that of a steady, indefinitely slow motion occurring in a bounded region Ω. The hypothesis of slow motion means that the ratio.of inertial to viscous forces is vanishingly small, so that we can disregard the nonlinear term into the full (steady) Navier-Stokes equations (I.0.3.).
作者: –LOUS    時間: 2025-3-23 14:28
Zielsteuerung (Target Controlling)asis will be given to what are called ., which will play a fundamental role in the study of flow in exterior domains. We shall not attempt, however, to give an exhaustive treatment of the subject, since this is beyond the scope of the book. Therefore, the reader who wants more details is referred to
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https://doi.org/10.1007/978-3-642-91740-0ct . moving with a small, constant velocity in a viscous liquid, at least at large distances from . where the viscous effects become less important. In particular, for . a ball, the explicit solution one finds (see (V.0.3)) exhibits no wake behind the body and is, therefore, unacceptable from the ph
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作者: 策略    時間: 2025-3-24 19:35
The Function Spaces of Hydrodynamics,tions that can be considered as characteristic of those problems. These functional spaces are of three types, denoted by .., .., and .., and are defined as suitable subspaces of . of [..]., [..]., and [..]., respectively, . ≥ 2. Actually, it is . the solenoidality restriction that makes these spaces
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作者: 拱形大橋    時間: 2025-3-25 12:08
Steady Oseen Flow in Exterior Domains,ct . moving with a small, constant velocity in a viscous liquid, at least at large distances from . where the viscous effects become less important. In particular, for . a ball, the explicit solution one finds (see (V.0.3)) exhibits no wake behind the body and is, therefore, unacceptable from the ph
作者: ineffectual    時間: 2025-3-25 19:33
0081-3877 ough 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. Ra- jagopal has showed me by several examples during the past six years, the mathematical questions that remain open are of such a fascinating and cha
作者: Semblance    時間: 2025-3-25 20:55
Zielsteuerung (Target Controlling)o give an exhaustive treatment of the subject, since this is beyond the scope of the book. Therefore, the reader who wants more details is referred to the specialised literature quoted throughout. As a rule, we only give proofs where they are elementary or when the result is new or does not seem to be widely known.
作者: Temporal-Lobe    時間: 2025-3-26 02:32
Zielsteuerung (Target Controlling)ed as suitable subspaces of . of [..]., [..]., and [..]., respectively, . ≥ 2. Actually, it is . the solenoidality restriction that makes these spaces peculiar and, as we shall see, poses problems that otherwise would not arise.
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作者: GROSS    時間: 2025-3-26 11:48
Basic Function Spaces and Related Inequalities,o give an exhaustive treatment of the subject, since this is beyond the scope of the book. Therefore, the reader who wants more details is referred to the specialised literature quoted throughout. As a rule, we only give proofs where they are elementary or when the result is new or does not seem to be widely known.
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作者: 我還要背著他    時間: 2025-3-26 22:06
Steady Stokes Flow in Domains with Unbounded Boundaries,appear. To this end, assume Ω to be an unbounded domain of ?. with . > 1 “exits” to infinity, of the type (see Section III.4.3) .where Ω. is a smooth compact subset of Ω while Ω., . = 1,..., ., are disjoint domains which, in possibly different coordinate systems (depending on Ω.) have the form
作者: 形狀    時間: 2025-3-27 02:01
Diskussion der Frequenzganggleichung,appear. To this end, assume Ω to be an unbounded domain of ?. with . > 1 “exits” to infinity, of the type (see Section III.4.3) .where Ω. is a smooth compact subset of Ω while Ω., . = 1,..., ., are disjoint domains which, in possibly different coordinate systems (depending on Ω.) have the form
作者: 破譯    時間: 2025-3-27 06:58

作者: 異端    時間: 2025-3-27 10:37
https://doi.org/10.1007/978-3-642-91740-0 by Oseen (1927, p.165), for the solution (V.0.3) we obtain, after a simple calculation, . no matter how small v. is, thus violating the assumption under which the Stokes equations are derived (see the Introduction to Chapter IV).
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