乔丽华, 吴志敏, 林国广. 随机Cahn-Hilliard 方程的随机吸引子及其Hausdorff维数[J]. 云南大学学报(自然科学版), 2012, 34(3): 249-257,264.
引用本文: 乔丽华, 吴志敏, 林国广. 随机Cahn-Hilliard 方程的随机吸引子及其Hausdorff维数[J]. 云南大学学报(自然科学版), 2012, 34(3): 249-257,264.
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QIAO Li-hua, WU Zhi-min, LIN Guo-guang. Random attractor and Hausdorff dimension for stochastic Cahn-Hilliard equation[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(3): 249-257,264.
Citation: QIAO Li-hua, WU Zhi-min, LIN Guo-guang. Random attractor and Hausdorff dimension for stochastic Cahn-Hilliard equation[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(3): 249-257,264.
shu

随机Cahn-Hilliard 方程的随机吸引子及其Hausdorff维数

Random attractor and Hausdorff dimension for stochastic Cahn-Hilliard equation

    摘要
  • 摘要: 证明二阶随机Cahn-Hilliard方程解的存在唯一性,获得了此方程随机吸引子的存在性以及有限维的Hausdorff维数.

     

    Abstract: It is proved that the existence and uniqueness of solutions of second-order stochastic Cahn-Hilliard equation.It is obtained for that the existence of random attractor and the finite Hausdorff dimension for the equation.

     

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