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Titlebook: An Introduction to the Mathematical Theory of the Navier-Stokes Equations; Volume I: Linearised Giovanni P. Galdi Textbook 19941st edition

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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.).
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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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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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