Abstract.
An example is presented of a class of periodic, two-dimensional, inviscid fluid flows where the stability spectrum contains both discrete unstable eigenvalues and an unstable essential spectrum. The method of averaging is used to demonstrate the existence of unstable eigenvalues. For such flows spectral instability implies nonlinear instability.
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Accepted: July 12, 2000
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Friedlander, S., Vishik, M. & Yudovich, V. Unstable Eigenvalues Associated with Inviscid Fluid Flows. J. math. fluid mech. 2, 365–380 (2000). https://doi.org/10.1007/PL00000959
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DOI: https://doi.org/10.1007/PL00000959