On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping

A. Kh Khanmamedov

doi:10.1080/00036810903277085

On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping

A. Kh Khanmamedov

Uygulamalı Matematik Anabilim Dalı

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

4 Alıntılar (Scopus)

Özet

We prove the existence of a global attractor for the 2-D wave equation with nonlinear damping in H²(Ω) ∩ H₀¹ (Ω) × H₀¹ (Ω). We also show that under additional conditions this attractor is sufficiently regular.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1283-1301
Sayfa sayısı	19
Dergi	Applicable Analysis
Hacim	88
Basın numarası	9
DOI'lar	https://doi.org/10.1080/00036810903277085
Yayın durumu	Yayınlandı - Eyl 2009

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10.1080/00036810903277085

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Bundan alıntı yap

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title = "On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping",

abstract = "We prove the existence of a global attractor for the 2-D wave equation with nonlinear damping in H2(Ω) ∩ H01 (Ω) × H01 (Ω). We also show that under additional conditions this attractor is sufficiently regular.",

keywords = "Attractors, Wave equations",

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

year = "2009",

month = sep,

doi = "10.1080/00036810903277085",

language = "English",

volume = "88",

pages = "1283--1301",

journal = "Applicable Analysis",

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TY - JOUR

T1 - On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping

AU - Khanmamedov, A. Kh

PY - 2009/9

Y1 - 2009/9

N2 - We prove the existence of a global attractor for the 2-D wave equation with nonlinear damping in H2(Ω) ∩ H01 (Ω) × H01 (Ω). We also show that under additional conditions this attractor is sufficiently regular.

AB - We prove the existence of a global attractor for the 2-D wave equation with nonlinear damping in H2(Ω) ∩ H01 (Ω) × H01 (Ω). We also show that under additional conditions this attractor is sufficiently regular.

KW - Attractors

KW - Wave equations

UR - https://www.scopus.com/pages/publications/70449122605

U2 - 10.1080/00036810903277085

DO - 10.1080/00036810903277085

M3 - Article

AN - SCOPUS:70449122605

SN - 0003-6811

VL - 88

SP - 1283

EP - 1301

JO - Applicable Analysis

JF - Applicable Analysis

IS - 9

ER -

On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping

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