A strong global attractor for the 3D wave equation with displacement dependent damping

A. Kh Khanmamedov

doi:10.1016/j.aml.2010.04.013

A strong global attractor for the 3D wave equation with displacement dependent damping

A. Kh Khanmamedov

Uygulamalı Matematik Anabilim Dalı

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

7 Alıntılar (Scopus)

Özet

We prove that if the displacement coefficient of the damping of the 3D wave equation is a positive constant on the interval (-l, l), for large enough l < 0, then this equation has a strong global attractor in H¹ ₀(Ω) × L₂(Ω). We also show that this attractor is a bounded subset of H2(Ω) ∩ H₀ ¹(Ω) × H₀¹(Ω).

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	928-934
Sayfa sayısı	7
Dergi	Applied Mathematics Letters
Hacim	23
Basın numarası	8
DOI'lar	https://doi.org/10.1016/j.aml.2010.04.013
Yayın durumu	Yayınlandı - Ağu 2010

Belgeye Erişim

10.1016/j.aml.2010.04.013

Diger dosyalar ve linkler

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Bundan alıntı yap

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title = "A strong global attractor for the 3D wave equation with displacement dependent damping",

abstract = "We prove that if the displacement coefficient of the damping of the 3D wave equation is a positive constant on the interval (-l, l), for large enough l < 0, then this equation has a strong global attractor in H1 0(Ω) × L2(Ω). We also show that this attractor is a bounded subset of H2(Ω) ∩ H0 1(Ω) × H01(Ω).",

keywords = "Attractors, Wave equations",

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

year = "2010",

month = aug,

doi = "10.1016/j.aml.2010.04.013",

language = "English",

volume = "23",

pages = "928--934",

journal = "Applied Mathematics Letters",

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T1 - A strong global attractor for the 3D wave equation with displacement dependent damping

AU - Khanmamedov, A. Kh

PY - 2010/8

Y1 - 2010/8

N2 - We prove that if the displacement coefficient of the damping of the 3D wave equation is a positive constant on the interval (-l, l), for large enough l < 0, then this equation has a strong global attractor in H1 0(Ω) × L2(Ω). We also show that this attractor is a bounded subset of H2(Ω) ∩ H0 1(Ω) × H01(Ω).

AB - We prove that if the displacement coefficient of the damping of the 3D wave equation is a positive constant on the interval (-l, l), for large enough l < 0, then this equation has a strong global attractor in H1 0(Ω) × L2(Ω). We also show that this attractor is a bounded subset of H2(Ω) ∩ H0 1(Ω) × H01(Ω).

KW - Attractors

KW - Wave equations

UR - https://www.scopus.com/pages/publications/78651362705

U2 - 10.1016/j.aml.2010.04.013

DO - 10.1016/j.aml.2010.04.013

M3 - Article

AN - SCOPUS:78651362705

SN - 0893-9659

VL - 23

SP - 928

EP - 934

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 8

ER -

A strong global attractor for the 3D wave equation with displacement dependent damping

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