Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces

Dongyi Wei; Zhifei Zhang; Weiren Zhao

doi:10.1002/cpa.21672

Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces

Dongyi Wei, Zhifei Zhang, Weiren Zhao

Mathematics

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

Abstract

In this paper, we prove the decay estimates of the velocity and H¹ scattering for the two-dimensional 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.

Original language	English (US)
Pages (from-to)	617-687
Number of pages	71
Journal	Communications on Pure and Applied Mathematics
Volume	71
Issue number	4
DOIs	https://doi.org/10.1002/cpa.21672
State	Published - Apr 2018

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.21672

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title = "Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces",

abstract = "In this paper, we prove the decay estimates of the velocity and H1 scattering for the two-dimensional 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.",

author = "Dongyi Wei and Zhifei Zhang and Weiren Zhao",

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year = "2018",

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Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces

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