The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms

Liang Guo; Zhaoqin Yuan; Guoguang Lin

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The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms

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

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摘要

In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solutions of a nonlinear viscoelastic wave equation with strong damping, linear damping and source terms. Then we study the global attractors of the equation.

机译：本文首先对具有强阻尼，线性阻尼和源项的非线性粘弹性波动方程解的存在性和唯一性进行了先验估计。然后，我们研究方程的整体吸引子。

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《International Journal of Modern Nonlinear Theory and Application》 |2015年第2期|共11页
作者
Liang Guo; Zhaoqin Yuan; Guoguang Lin;
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中图分类力学;
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专利

1. Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms [J] . Liang Guo, Zhaoqin Yuan, Guoguang Lin Applied Mathematics . 2015,第5期

机译：具有强阻尼和非线性阻尼及源项的非线性粘弹性波方程的爆破和整体存在性。
2. GLOBAL ATTRACTORS FOR STRONGLY DAMPED WAVE EQUATIONS WITH DISPLACEMENT DEPENDENT DAMPING AND NONLINEAR SOURCE TERM OF CRITICAL EXPONENT [J] . A. Kh. Khanmamedov Discrete and continuous dynamical systems . 2011,第1期

机译：具有位移相关阻尼和临界指数非线性源项的强阻尼方程的全局吸引子
3. General decay of solutions to a viscoelastic wave equation with linear damping, nonlinear damping and source term [J] . Li Qian, He Luofei Applicable Analysis . 2020,第5a8期

机译：具有线性阻尼，非线性阻尼和源术语的粘弹性波方程的解决方案的一般衰减
4. Asymptotic behavior of global solutions for a class of wave equation with nonlinear damping and source terms [C] . Xiaoyan-Zhou The 2nd International Conference on Information Science and Engineering . 2010

机译：一类具有非线性阻尼和源项的波动方程整体解的渐近行为
5. Systems of nonlinear wave equations with damping and supercritical sources [D] . Guo, Yanqiu 2012

机译：具有阻尼和超临界源的非线性波动方程组
6. Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid [O] . Md. Mamunur Roshid, Harun-Or Roshid 2018

机译：两种描述不可压缩粘弹性开尔文-沃伊特流体的非线性演化方程的精确和显式行波解
7. Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms [O] . Liang Guo, Zhaoqin Yuan, Guoguang Lin 2015

机译：具有强大阻尼和非线性阻尼和源术语的非线性粘弹性波方程的爆炸和全局存在

The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms

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