Analysis Seminar

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Inviscid damping of monotone shear flows for 2D inhomogeneous Euler equation with non-constant density

Speaker: Weiren Zhao, NYU Abu Dhabi

Location: Warren Weaver Hall 1314

Date: Wednesday, November 8, 2023, 3:30 p.m.

Synopsis:

In this talk, I will discuss my recent research on the asymptotic stability and inviscid damping of 2D monotone shear flows with non-constant density in inhomogeneous ideal fluids within a finite channel. More precisely, I proved that if the initial perturbations belong to the Gevrey-2- class, then linearly stable monotone shear flows in inhomogeneous ideal fluids are also nonlinear asymptotically stable. Furthermore, inviscid damping is proved to hold, meaning that the perturbed velocity converges to a shear flow as time approaches infinity.

Notes:

Special Analysis Seminar