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

A. Kh. Khanmamedov

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

机译：关于带有非线性阻尼的二维波动方程强解的整体吸引子

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摘要

We prove the existence of a global attractor for the 2-D wave equation with nonlinear damping in H~2(Ω)∩(H_0)~1(Ω)×(H_0)~1(Ω). We also show that under additional conditions this attractor is sufficiently regular.

机译：我们证明了在H〜2（Ω）∩（H_0）〜1（Ω）×（H_0）〜1（Ω）下具有非线性阻尼的二维波动方程的整体吸引子的存在。我们还表明，在其他条件下，该吸引子是足够规则的。

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来源
《Applicable Analysis》 |2009年第9期|共19页
作者
A. Kh. Khanmamedov;
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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Attractors; Wave equations;

机译：吸引子;波动方程;

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1. On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping [J] . A. Kh. Khanmamedov Applicable Analysis . 2009,第9期

机译：关于带有非线性阻尼的二维波动方程强解的整体吸引子
2. The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms [J] . Liang Guo, Zhaoqin Yuan, Guoguang Lin International Journal of Modern Nonlinear Theory and Application . 2015,第2期

机译：具有强阻尼和线性阻尼以及源项的非线性粘弹性波动方程的整体吸引子
3. Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity [J] . Nonlinear Analysis: An International Multidisciplinary Journal . 2020,第期

机译：具有非线性弱阻尼，线性强阻阻尼和对数非线性的四阶分散波方程的全局良好的解决方案
4. Kolmogorov's e-Entropyfor a Class of Invariant Sets and Dimension of Global Attractors for Second-Order Evolution Equations with Nonlinear Damping [C] . Igor Chueshov, Irena Lasiecka Conference on Control Theory for Partial Differential Equations . 2005

机译：Kolmogorov的E-entropy是一类不变集和全局吸引子的尺寸，用于具有非线性阻尼的二阶进化方程
5. Global well-posedness for a nonlinear wave equation with P-Laplacian damping. [D] . Wilstein, Zahava. 2011

机译：具有P-Laplacian阻尼的非线性波动方程的整体适定性。
6. On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities [O] . Elena Kopylova -1

机译：集中非线性波动方程对平稳状态的整体吸引
7. Standing waves and global existence for nonlinear wave equations with potential, strong, and nonlinear damping terms [O] . 2014

机译：具有势，强和非线性阻尼项的非线性波动方程的驻波和整体存在

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

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