Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel

Weiren Zhao

doi:10.1007/s40818-025-00197-0

Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel

Weiren Zhao

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in T×[0,1] when the initial perturbation is in Gevrey-1s (12<s<1) class with compact support.

Original language	English (US)
Article number	8
Journal	Annals of PDE
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s40818-025-00197-0
State	Published - Jun 2025

Keywords

Asymptotic stability
finite channel
Gevrey class
Inhomogeneous incompressible Euler equation
Inviscid damping
Shear flows

ASJC Scopus subject areas

Analysis
Mathematical Physics
General Physics and Astronomy
Geometry and Topology
Applied Mathematics

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10.1007/s40818-025-00197-0

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keywords = "Asymptotic stability, finite channel, Gevrey class, Inhomogeneous incompressible Euler equation, Inviscid damping, Shear flows",

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N2 - We prove the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in T×[0,1] when the initial perturbation is in Gevrey-1s (12

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Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel

Abstract

Keywords

ASJC Scopus subject areas

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