Nonlinear Stability of Asymptotic Suction

The semigroup approach to the Navier-Stokes equation in halfspace is used to prove that the stability of the asymptotic suction velocity profile is determined by the eigenvalues of the classical Orr-Sommerfeld equation. The usual obstacle, namely, that the corresponding linear operator contains 0 in...

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Veröffentlicht in:	Trans. Am. Math. Soc.; (United States) 1984-01, Vol.281 (1), p.215
1. Verfasser:	Miklavcic, Milan
Format:	Artikel
Sprache:	eng
Schlagworte:	640410 - Fluid Physics- General Fluid Dynamics 657000 - Theoretical & Mathematical Physics ASYMPTOTIC SOLUTIONS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY DIFFERENTIAL EQUATIONS EIGENVALUES EQUATIONS FLUID FLOW NAVIER-STOKES EQUATIONS PARTIAL DIFFERENTIAL EQUATIONS STABILITY VELOCITY
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Beschreibung
Zusammenfassung:	The semigroup approach to the Navier-Stokes equation in halfspace is used to prove that the stability of the asymptotic suction velocity profile is determined by the eigenvalues of the classical Orr-Sommerfeld equation. The usual obstacle, namely, that the corresponding linear operator contains 0 in the spectrum is removed with the use of weighted spaces. 13 references.
ISSN:	0002-9947
DOI:	10.2307/1999531