Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise

Yang M.; Duan J.; Kloeden P.

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Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise

机译：具有非线性阻尼和白噪声的随机波方程解的渐近性。

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The dynamical behavior of a stochastic wave equation on a bounded domain in R~3 with smooth boundary, for which the nonlinear damping has a critical cubic growth rate, is investigated. Its dissipativeness in higher-energy spaces W~(s,2)×W~(s-1,2) for 1

机译：研究了R〜3中具有光滑边界的有界域上的随机波动方程的动力学行为，该非线性阻尼具有临界的立方增长率。建立了在1

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来源
《Nonlinear analysis. Real world applications》 |2011年第1期|共15页
作者
Yang M.; Duan J.; Kloeden P.;
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正文语种 eng
中图分类数学分析;
关键词
Asymptotic regularity; Critical exponent; Nonlinear damping; Random attractors; Stochastic wave equation;

机译：渐近正则性临界指数非线性阻尼随机吸引子随机波动方程;

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专利

1. Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise [J] . Yang M., Duan J., Kloeden P. Nonlinear analysis. Real world applications . 2011,第1期

机译：具有非线性阻尼和白噪声的随机波方程解的渐近性。
2. Asymptotic behavior of solutions for nonlinear wave equations of Kirchhoff type with a positive-negative damping [J] . Wu S.-T. Applied mathematics letters . 2012,第7期

机译：具有正负阻尼的Kirchhoff型非线性波动方程解的渐近性。
3. Existence and Asymptotic Behavior of Solutions to Semilinear Wave Equations with Nonlinear Damping and Dynamical Boundary Condition [J] . Hassan Yassine Journal of dynamics and differential equations . 2012,第3期

机译：具有非线性阻尼和动力边界条件的半线性波动方程解的存在性与渐近性。
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. Global Existence and Asymptotic Behaviors For Some Nonlinear Partial Differential Equations [D] . Binshati, Ismahan Dhaw. 2019

机译：一些非线性偏微分方程的全局存在和渐近行为
6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. Asymptotic behavior of solutions of some nonlinearly damped wave equations on $mathbb R^N$ [O] . Nikos Karachalios, Nikos M. Stavrakakis 2001

机译：$ mathbb r ^ n $的一些非线性阻尼波方程解的渐近行为
8. Remarks on the Asymptotic Behavior of Solutions to Damped Wave Equations in Hilbert Space. [R] . Bloom, F. 1978

机译：关于Hilbert空间中阻尼波方程解的渐近性的注记。

Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise

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