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

Wei Dongyi | Zendy; Zhang Zhifei | Zendy; Zhao Weiren | Zendy

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

Author(s) -

Wei Dongyi,

Zhang Zhifei,

Zhao Weiren

Publication year - 2018

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.21672

Subject(s) - inviscid flow , monotone polygon , mathematics , sobolev space , class (philosophy) , euler equations , flow (mathematics) , mathematical analysis , shear flow , shear (geology) , pure mathematics , mechanics , geometry , physics , geology , artificial intelligence , computer science , petrology

In this paper, we prove the decay estimates of the velocity and H 1 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. © 2016 Wiley Periodicals, Inc.

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