Acoustic wave motions stabilized by boundary memory damping II. Polynomial stability

Zhe Jiao; Yong Xu

doi:10.1016/j.aml.2018.05.011

Acoustic wave motions stabilized by boundary memory damping II. Polynomial stability

Zhe Jiao, Yong Xu

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

1 Scopus citations

Abstract

A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered. The ABC contain a memory damping with respect to the normal displacement of the boundary point. In this paper, we establish polynomial energy decay rates for the wave equation by using resolvent estimates.

Original language	English
Pages (from-to)	35-40
Number of pages	6
Journal	Applied Mathematics Letters
Volume	85
DOIs	https://doi.org/10.1016/j.aml.2018.05.011
State	Published - Nov 2018

Keywords

Acoustic boundary conditions
Boundary memory damping
Polynomial decay rates
Wave equation

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10.1016/j.aml.2018.05.011

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title = "Acoustic wave motions stabilized by boundary memory damping II. Polynomial stability",

abstract = "A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered. The ABC contain a memory damping with respect to the normal displacement of the boundary point. In this paper, we establish polynomial energy decay rates for the wave equation by using resolvent estimates.",

keywords = "Acoustic boundary conditions, Boundary memory damping, Polynomial decay rates, Wave equation",

author = "Zhe Jiao and Yong Xu",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = nov,

doi = "10.1016/j.aml.2018.05.011",

language = "英语",

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AU - Jiao, Zhe

AU - Xu, Yong

PY - 2018/11

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N2 - A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered. The ABC contain a memory damping with respect to the normal displacement of the boundary point. In this paper, we establish polynomial energy decay rates for the wave equation by using resolvent estimates.

AB - A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered. The ABC contain a memory damping with respect to the normal displacement of the boundary point. In this paper, we establish polynomial energy decay rates for the wave equation by using resolvent estimates.

KW - Acoustic boundary conditions

KW - Boundary memory damping

KW - Polynomial decay rates

KW - Wave equation

UR - http://www.scopus.com/inward/record.url?scp=85047799096&partnerID=8YFLogxK

U2 - 10.1016/j.aml.2018.05.011

DO - 10.1016/j.aml.2018.05.011

M3 - 文章

AN - SCOPUS:85047799096

SN - 0893-9659

VL - 85

SP - 35

EP - 40

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Acoustic wave motions stabilized by boundary memory damping II. Polynomial stability

Abstract

Keywords

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