| 带有白噪声的Berger方程随机吸引子 |
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| 引用本文： | 汪璇,宋安.带有白噪声的Berger方程随机吸引子[J].吉林大学学报(理学版),2019,57(6):1309-1318. |
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| 作者姓名： | 汪璇 宋安 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 考虑带有白噪声的Berger方程解的随机渐近性行为, 用渐近先验估计技术和算子分解方法, 通过引入同构映射构造等价过程, 证明随机吸引子在(H2(U)∩H10(U))×L2(U)中的存在性.
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| 关 键 词： | 随机吸引子 Berger方程 算子分解 存在性 |
| 收稿时间： | 2019-04-17 |
Random Attractors for Berger Equation with White Noise |
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| WANG Xuan,SONG An.Random Attractors for Berger Equation with White Noise[J].Journal of Jilin University: Sci Ed,2019,57(6):1309-1318. |
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| Authors: | WANG Xuan SONG An |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | We considered the random asymptotic behaviors of solutions for the Berger equation with white noise. By introducting the equivalent process of isomorphic mapping, and using asymptotic a priori estimation technique and operator decomposition method, we proved the existence of random attractor in (H2(U)∩H10(U))×L2(U). |
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| Keywords: | random attractor Berger equation operator decomposition existence |
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