A sufficient condition for instability in the limit of vanishing dissipation

DOI10.1006/jmaa.1998.5914zbMath0916.35009OpenAlexW2064862409MaRDI QIDQ1269086

Andrei A. Lyashenko, Susan J. Friedlander

Publication date: 11 January 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5914

zbMATH Keywords

singular perturbationspectrumrotating body with an internal cavity filled with a fluid

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items (4)

Inertial motions of a rigid body with a cavity filled with a viscous liquid ⋮ On the motion of a liquid-filled heavy body around a fixed point ⋮ The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity ⋮ On the spectral instability and bifurcation of the 2D-quasi-geostrophic potential vorticity equation with a generalized Kolmogorov forcing

Cites Work

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• On the spectral theory of elliptic differential operators. I
• Inversion of Lagrange's theorem for a rigid body with a cavity containing a viscous liquid
• On the instability of a rotating body with a cavity filled with viscous liquid
• Dissipation induced instabilities
• Nonlinear Instability of a Precessing Body with a Cavity Filled by an Ideal Fluid

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