Exponential stability of an elastic string with local Kelvin-Voigt damping

Qiong Zhang

doi:10.1007/s00033-010-0064-5

Exponential stability of an elastic string with local Kelvin-Voigt damping

Qiong Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

43 Citations (Scopus)

Abstract

This paper is devoted to analyzing an elastic string with local Kelvin-Voigt damping. We prove the exponential stability of the system when the material coefficient function near the interface is smooth enough. Our method is based on the frequency method and semigroup theory.

Original language	English
Pages (from-to)	1009-1015
Number of pages	7
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	61
Issue number	6
DOIs	https://doi.org/10.1007/s00033-010-0064-5
Publication status	Published - Dec 2010

Keywords

C semigroup
Exponential stability
Kelvin-Voigt damping

Access to Document

10.1007/s00033-010-0064-5

Cite this

@article{2edc2ce1a1d34a3daab1ada14002be6a,

title = "Exponential stability of an elastic string with local Kelvin-Voigt damping",

abstract = "This paper is devoted to analyzing an elastic string with local Kelvin-Voigt damping. We prove the exponential stability of the system when the material coefficient function near the interface is smooth enough. Our method is based on the frequency method and semigroup theory.",

keywords = "C semigroup, Exponential stability, Kelvin-Voigt damping",

author = "Qiong Zhang",

year = "2010",

month = dec,

doi = "10.1007/s00033-010-0064-5",

language = "English",

volume = "61",

pages = "1009--1015",

journal = "Zeitschrift fur Angewandte Mathematik und Physik",

issn = "0044-2275",

publisher = "Birkhauser Verlag Basel",

number = "6",

}

TY - JOUR

T1 - Exponential stability of an elastic string with local Kelvin-Voigt damping

AU - Zhang, Qiong

PY - 2010/12

Y1 - 2010/12

N2 - This paper is devoted to analyzing an elastic string with local Kelvin-Voigt damping. We prove the exponential stability of the system when the material coefficient function near the interface is smooth enough. Our method is based on the frequency method and semigroup theory.

AB - This paper is devoted to analyzing an elastic string with local Kelvin-Voigt damping. We prove the exponential stability of the system when the material coefficient function near the interface is smooth enough. Our method is based on the frequency method and semigroup theory.

KW - C semigroup

KW - Exponential stability

KW - Kelvin-Voigt damping

UR - http://www.scopus.com/inward/record.url?scp=78449271338&partnerID=8YFLogxK

U2 - 10.1007/s00033-010-0064-5

DO - 10.1007/s00033-010-0064-5

M3 - Article

AN - SCOPUS:78449271338

SN - 0044-2275

VL - 61

SP - 1009

EP - 1015

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 6

ER -

Exponential stability of an elastic string with local Kelvin-Voigt damping

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this