Nonlinear spectral instability of steady-state flow of a viscous liquid past a rotating obstacle

We show that a steady-state solution to the system of equations of a Navier–Stokes flow past a rotating body is nonlinearly unstable if the associated linear operator L has a part of the spectrum in the half-plane { λ ∈ C ; Re λ > 0 } . Our result does not follow from known methods, mainly becaus...

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Veröffentlicht in:	Mathematische annalen 2022-02, Vol.382 (1-2), p.357-382
Hauptverfasser:	Galdi, Giovanni P., Neustupa, Jiří
Format:	Artikel
Sprache:	eng
Schlagworte:	Equilibrium flow Flow stability Linear operators Mathematics Mathematics and Statistics Rotating bodies Rotating liquids Steady state Stokes flow
Online-Zugang:	Volltext
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