0553310 - MÚ 2023 RIV DE eng J - Článek v odborném periodiku
Galdi, G. P. - Neustupa, Jiří
Nonlinear spectral instability of steady-state flow of a viscous liquid past a rotating obstacle.
Mathematische Annalen. Roč. 382, 1-2 (2022), s. 357-382. ISSN 0025-5831. E-ISSN 1432-1807
Grant CEP: GA ČR(CZ) GA17-01747S
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes equation * nonlinear operator
Obor OECD: Pure mathematics
Impakt faktor: 1.4, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00208-020-02045-x

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,Reλ>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-semigroup e Lt is equal to the spectral bound of operator L.
Trvalý link: http://hdl.handle.net/11104/0328276