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具有强阻尼和白噪声的随机Plate方程解的渐近性(英文) 被引量:1

Asymptotic behavior of solutions for stochastic plate equation with strong damping and white noise
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摘要 研究了具有强阻尼和白噪声的随机Plate方程解的渐近动力学行为,证明了解的渐近性并由此获得了方程随机紧吸引子的存在性. The asymptotic dynamics of a stochastic plate equations with strong damping and white noise is studied in this paper,the asymptotic regularity of the solutions and the existence of nonempty compact random attractors are obtained for the random dynamical system associated with the equation.
出处 《西北师范大学学报(自然科学版)》 CAS 北大核心 2014年第4期6-17,共12页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(11101334) 甘肃省自然科学基金资助项目(1107RJZA 223)
关键词 随机Plate方程 强阻尼 渐近正则性 随机吸引子 stochastic plate equation strong damping asymptotic regularity random attractor
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