Linear inviscid damping for a class of monotone shear flow in Sobolev spaces
classification
🧮 math.AP
keywords
classdecayflowmonotonesheararoundcasechannel
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In this paper, we prove the decay estimates of the velocity and $H^1$ scattering for the 2D linearized Euler equations around a class of monotone shear flow in a finite channel. Our result is consistent with the decay rate predicted by Case in 1960.
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