Linear Inviscid Damping in Gevrey Spaces

We prove linear inviscid damping near a general class of monotone shear flows in a finite channel, in Gevrey spaces. This is an essential step towards proving nonlinear inviscid damping for general shear flows that are not close to the Couette flow, which is a major open problem in 2d Euler equation...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2020-02, Vol.235 (2), p.1327-1355
1. Verfasser:	Jia, Hao
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical Mechanics Complex Systems Couette flow Damping Euler-Lagrange equation Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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Zusammenfassung:	We prove linear inviscid damping near a general class of monotone shear flows in a finite channel, in Gevrey spaces. This is an essential step towards proving nonlinear inviscid damping for general shear flows that are not close to the Couette flow, which is a major open problem in 2d Euler equations.
ISSN:	0003-9527 1432-0673
DOI:	10.1007/s00205-019-01445-x