The unstable spectrum of the surface quasi-geostrophic equation

DOI10.1007/s00021-004-0129-3zbMath1064.76046OpenAlexW2064454471MaRDI QIDQ1773127

Roman Shvydkoy, Susan J. Friedlander

Publication date: 25 April 2005

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-004-0129-3

zbMATH Keywords

semigroupevolution operatortwo-dimensional Euler equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General topics in linear spectral theory for PDEs (35P05) General theory of rotating fluids (76U05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (9)

Cocycles and Mañe sequences with an application to ideal fluids ⋮ Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations ⋮ Infinite energy solutions of the surface quasi-geostrophic equation ⋮ Global Smooth Solutions for the Inviscid SQG Equation ⋮ The essential spectrum of advective equations ⋮ Nonlinear instability for the critically dissipative quasi-geostrophic equation ⋮ Invariant measures and global well posedness for the SQG equation ⋮ The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation ⋮ Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics

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