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Steady Stokes Flow in Bounded Domains

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Part of the book series: Springer Tracts in Natural Philosophy ((STPHI,volume 38))

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Abstract

We now undertake the study of the mathematical properties of the motion of a viscous incompressible fluid. We shall begin with the simplest situation, namely, that of a steady, indefinitely slow motion occurring in a bounded region Ω. The hypothesis of slow motion means that the ratio

$$\frac{{\left| {v\cdot \nabla v} \right|}}{{\left| {v\nabla v} \right|}}$$

of inertial to viscous forces is vanishingly small, so that we can disregard the nonlinear term into the full (steady) Navier-Stokes equations (I.0.31).

Ora sia il tuo passo più cauto: ad un tiro di sasso di qui ti si prepare une più rare scena.

E. Montale, Ossi di Seppia.

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  1. Istituto di Ingegneria, Università di Ferrara, Via Scandiana 21, 44100, Ferrara, Italy

    Giovanni P. Galdi

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Galdi, G.P. (1994). Steady Stokes Flow in Bounded Domains. In: An Introduction to the Mathematical Theory of the Navier-Stokes Equations. Springer Tracts in Natural Philosophy, vol 38. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3866-7_4

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  • DOI: https://doi.org/10.1007/978-1-4757-3866-7_4

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