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随机耗散Camassa-Holm方程随机吸引子的上半连续性 被引量:2

Upper Semicontinuity of Random Attractors for the Random Dissipative Camassa-Holm Equation
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摘要 通过对带白噪音的随机耗散Camassa-Holm方程解的一致估计,以及该解产生的随机动力系统在H10空间中存在随机吸引子,证明了吸引子的上半连续性. According to the uniform estimation of the solution of the random dissipative Camassa-Holm equation with white noise,and based on the existence of attractors in the random dynamical system produced by the solution in H10,the paper proves the upper semicontinuity of the attractors.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2016年第2期51-57,共7页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金面上项目(11571283)
关键词 白噪音 随机耗散Camassa-Holm方程 随机动力系统 随机吸引子 上半连续性 white noise random dissipative Camassa-Holm equation random dynamical system random attractor upper semicontinuity
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  • 1丁丹平,田立新.耗散Camassa-Holm方程的吸引子[J].应用数学学报,2004,27(3):536-545. 被引量:13
  • 2付一平,郭柏灵.ALMOST PERIODIC SOLUTION OF ONE DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATION[J].Acta Mathematica Scientia,2007,27(1):117-124. 被引量:4
  • 3Constantin A, Escher J. Global Existence and Blow-up for a Shallow Water Equation. Ann. Scuola Norm, SUP. Pisacl. Sci., 1998, XXVI(4): 303-328 被引量:1
  • 4Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics. Applied Mathematical Sciences, Vol.68, Berlin: Springer-Verlag, 1988 被引量:1
  • 5Danchin R. A Few Remarks on the Camassa-Holm Equation. Differential and Integral Equation,2001, 14(8): 953-988 被引量:1
  • 6Camassa R, Holm D. An Integrable Shallow Water Equation with Peaked Solitons. Phys. Rev. Lett.,1993, 71(11): 1661-1664 被引量:1
  • 7Vukadinovic J. On the Backwards Behavior of the Solutions of the 2D Periodic Viscous Camassa-Holm Equation. Journal of Dynamics and Differential Equations, 2002, 14(1): 37-62 被引量:1
  • 8Fois C, Holm D, Titi S. The Three Dimensional Viscous Camassa-Holm Equations, and Their Relation to the Navier-Stokes Equations and Turbulence Theory. Journal of Dynamics and Differential Equations, 2002, 14(1): 1-35 被引量:1
  • 9郭柏灵,无穷维动力系统(上).北京:国防工业出版社,2000(Guo Boling. Infinite Dimensional Dynamiocal Systems. Beijing: Defense industry Press, 2000 被引量:1
  • 10Yang Rong LI,Bo Ling GUO.Random Attractors of Boussinesq Equations with Multiplicative Noise[J].Acta Mathematica Sinica,English Series,2009,25(3):481-490. 被引量:10

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