2020
DOI: 10.1007/s00208-020-02045-x
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Nonlinear spectral instability of steady-state flow of a viscous liquid past a rotating obstacle

Abstract: We show that a steady-state solution to the system of equations of a Navier-Stokes flow past a rotating body is nonlinealy 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 because the basic nonlinear operator is not bounded in the same space in which the instability is studied. As an auxiliary result of independent interest, we also show that the uniform growth bound of the C 0 -semigroup e Lt is e… Show more

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Cited by 2 publications
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