Large time behavior and asymptotic stability of the two-dimensional Euler and linearized Euler equations

Abstract

We study the asymptotic behavior and the asymptotic stability of the two-dimensional Euler equations and of the two-dimensional linearized Euler equations close to parallel flows. We focus on flows with spectrally stable profiles U (y) and with stationary streamlines y = y0 (such that U ′(y0) = 0), a case that has not been studied previously. We describe a… (More)

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