Global attractor for the one dimensional wave equation with displacement dependent damping

A. Kh Khanmamedov

doi:10.1016/j.aml.2011.09.032

Global attractor for the one dimensional wave equation with displacement dependent damping

A. Kh Khanmamedov

Uygulamalı Matematik Anabilim Dalı

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

4 Alıntılar (Scopus)

Özet

We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global attractor.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	439-442
Sayfa sayısı	4
Dergi	Applied Mathematics Letters
Hacim	25
Basın numarası	3
DOI'lar	https://doi.org/10.1016/j.aml.2011.09.032
Yayın durumu	Yayınlandı - Mar 2012

Belgeye Erişim

10.1016/j.aml.2011.09.032

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Bundan alıntı yap

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title = "Global attractor for the one dimensional wave equation with displacement dependent damping",

abstract = "We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global attractor.",

keywords = "Attractors, Wave equations",

author = "Khanmamedov, \{A. Kh\}",

year = "2012",

month = mar,

doi = "10.1016/j.aml.2011.09.032",

language = "English",

volume = "25",

pages = "439--442",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

number = "3",

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TY - JOUR

T1 - Global attractor for the one dimensional wave equation with displacement dependent damping

AU - Khanmamedov, A. Kh

PY - 2012/3

Y1 - 2012/3

N2 - We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global attractor.

AB - We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global attractor.

KW - Attractors

KW - Wave equations

UR - https://www.scopus.com/pages/publications/80955172786

U2 - 10.1016/j.aml.2011.09.032

DO - 10.1016/j.aml.2011.09.032

M3 - Article

AN - SCOPUS:80955172786

SN - 0893-9659

VL - 25

SP - 439

EP - 442

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 3

ER -

Global attractor for the one dimensional wave equation with displacement dependent damping

Özet

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