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

Division of Applied Mathematics

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

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	439-442
Number of pages	4
Journal	Applied Mathematics Letters
Volume	25
Issue number	3
DOIs	https://doi.org/10.1016/j.aml.2011.09.032
Publication status	Published - Mar 2012

Keywords

Attractors
Wave equations

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10.1016/j.aml.2011.09.032

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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",

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journal = "Applied Mathematics Letters",

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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

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U2 - 10.1016/j.aml.2011.09.032

DO - 10.1016/j.aml.2011.09.032

M3 - Article

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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

Abstract

Keywords

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