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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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

形狀

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

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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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