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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 , mathematics , monotone polygon , sobolev space , class (philosophy) , mathematical analysis , euler equations , flow (mathematics) , shear flow , pure mathematics , classical mechanics , geometry , physics , artificial intelligence , computer science
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.