Random Attractor for the Nonclassical Diffusion Equation with Fading Memory 被引量：2

Random Attractor for the Nonclassical Diffusion Equation with Fading Memory

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摘要 In this paper, we consider the stochastic nonclassical diffusion equation with fading memory on a bounded domain. By decomposition of the solution operator, we give the necessary condition of asymptotic smoothness of the solution to the initial boundary value problem, and then we prove the existence of a random attractor in the space M1=D（A2^-1）×Lu^2（R＋（A2^-1））,where A = --A with Dirichlet boundary condition.

作者 CHENG Shuilin

机构地区 School of Statistics and Mathematics

出处《Journal of Partial Differential Equations》 CSCD 2015年第3期253-268,共16页 偏微分方程（英文版）

关键词 Stochastic nonclassical diffusion equations fading memory random attractor.

分类号 O175.26 [理学—基础数学]

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参考文献23

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同被引文献3

1Chun You SUN,Su Yun WANG,Cheng Kui ZHONG.Global Attractors for a Nonclassical Diffusion Equation[J].Acta Mathematica Sinica,English Series,2007,23(7):1271-1280. 被引量：20
2Yue-long XiaoDepartment of Mathematics, Xiangtan University, Xiangtan 411105, China.Attractors for a Nonclassical Diffusion Equation[J].Acta Mathematicae Applicatae Sinica,2002,18(2):273-276. 被引量：15
3Eshag Mohamed Ahmed,Ali Dafallah Abdelmajid,Ling Xu,Qiaozhen Ma.Random Attractors for Stochastic Reaction-Diffusion Equations with Distribution Derivatives on Unbounded Domains[J].Applied Mathematics,2015,6(10):1790-1807. 被引量：3

引证文献2

1Ahmed Eshag Mohamed,Qiaozhen Ma,Mohamed Y. A. Bakhet.Random Attractors of Stochastic Non-Autonomous Nonclassical Diffusion Equations with Linear Memory on a Bounded Domain[J].Applied Mathematics,2018,9(11):1299-1314.
2Fadlallah Mustafa Mosa,Abdelmajid Ali Dafallah,Qiaozhen Ma,Eshag Mohamed Ahmed,Mohamed Y. A. Bakhet.Existence and Upper Semi-Continuity of Random Attractors for Nonclassical Diffusion Equation with Multiplicative Noise on R<sup>n</sup>[J].Journal of Applied Mathematics and Physics,2022,10(12):3898-3919.

1汪永海,王灵芝.TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY[J].Acta Mathematica Scientia,2013,33(3):721-737. 被引量：4
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4黎育红,Zdzistaw Brze■niak,周建中.CONCEPTUAL ANALYSIS AND RANDOM ATTRACTOR FOR DISSIPATIVE RANDOM DYNAMICAL SYSTEMS[J].Acta Mathematica Scientia,2008,28(2):253-268. 被引量：1
5赵才地,李用声,周盛凡.RANDOM ATTRACTOR FOR A TWO-DIMENSIONAL INCOMPRESSIBLE NON-NEWTONIAN FLUID WITH MULTIPLICATIVE NOISE[J].Acta Mathematica Scientia,2011,31(2):567-575. 被引量：5
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7An-hui GU,Sheng-fan ZHOU,Qing-fei JIN.Random Attractors for Partly Dissipative Stochastic Lattice Dynamical Systems with Multiplicative White Noises[J].Acta Mathematicae Applicatae Sinica,2015,31(2):567-576.
8赵文强.REGULARITY OF RANDOM ATTRACTORS FOR A STOCHASTIC DEGENERATE PARABOLIC EQUATIONS DRIVEN BY MULTIPLICATIVE NOISE[J].Acta Mathematica Scientia,2016,36(2):409-427. 被引量：1
9李劲,黄建华.Dynamics of stochastic non-Newtonian fluids driven by fractional Brownian motion with Hurst parameter H∈(1/4,1/2)[J].Applied Mathematics and Mechanics(English Edition),2013,34(2):189-208. 被引量：2

Journal of Partial Differential Equations

2015年第3期

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Random Attractor for the Nonclassical Diffusion Equation with Fading Memory 被引量：2

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