#7357. Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics

October 2026publication date
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Journal’s subject area:
Mathematics (miscellaneous);
Analysis;
Mechanical Engineering;
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Abstract:
In this article we show that the Euler equations, when linearized around a low frequency perturbation to Couette flow, exhibit norm inflation in Gevrey-type spaces as time tends to infinity. Thus, echo chains are shown to be a (secondary) linear instability mechanism.
Keywords:
Echo chains; linear mechanism; norm inflation

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