共查询到19条相似文献,搜索用时 46 毫秒
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研究了带有乘积白噪音的非自治随机波方程.首先证明解在一个有界球外的一致小性,然后对解在有界的区域内进行分解,得到解的渐近紧性,最后得到了带有乘积白噪音的非自治随机波方程的随机吸引子的存在性. 相似文献
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研究了定义在无界区域上具可乘白噪音的随机反应扩散方程的渐近行为.运用一致估计得到了U3-随机吸收集;对方程的解运用渐近优先估计法,建立了相应随机动力系统的渐近紧性,证明了LP-随机吸引子的存在性.该随机吸引子是紧不变集并按LP-范数吸L2中所有缓增集,其中,非线性项/满足p-1(p≥2)阶增长条件. 相似文献
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研究了 KdV-Burgers-Kuramoto 方程的渐近吸引子,即利用正交分解法构造一个有限维解序列。首先用数学归纳法证明了该解序列不会远离方程的整体吸引子,接着证明解序列在长时间后无限趋于方程的整体吸引子,最后给出渐近吸引子的维数估计。 相似文献
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可以接轨道得到带白噪声的随机耗散Camassa-Holm方程的唯—解并且可以检验该解产生随机动力系统,从而证明了该随机动力系统在H02中存在紧的随机吸引子. 相似文献
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In this note, we study some properties of local random pull-back attractors on compact metric spaces. We obtain some relations between attractors and their fundamental neighborhoods and basins of attraction. We also obtain some properties of omega-limit sets, as well as connectedness of random attractors. A simple deterministic example is given to illustrate some confusing problems. 相似文献
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T. Caraballo J.A. Langa J. Valero 《Journal of Mathematical Analysis and Applications》2001,260(2):161
In this paper we consider a stochastic differential inclusion with multiplicative noise. It is shown that it generates a multivalued random dynamical system for which there also exists a global random attractor. 相似文献
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QIN Yuming DENG Shuxian SCHULZE Bert Wolfgang 《偏微分方程(英文版)》2009,22(2):153-198
In this paper we prove the regularity, exponential stability of global solutions and existence of uniform compact attractors of semiprocesses, generated by the global solutions, of a two-parameter family of operators for a nonlinear onedimensional non-autonomous equation of viscoelasticity. We employ the properties of the analytic semigroup to show the compactness for the semiprocess generated by the global solutions. 相似文献
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The paper deals with infinite-dimensional random dynamical systems. Under the condition that the system in question is of mixing type and possesses a random compact attracting set, we show that the support of the unique invariant measure is the minimal random point attractor. The results obtained apply to the randomly forced 2D Navier–Stokes system. 相似文献
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Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Reaction-diffusion Equations 下载免费PDF全文
This paper dealswith non-autonomous fractional stochastic reaction-diffusion equations driven by multiplicative noise with s ∈ (0,1). We first present some conditions for estimating the boundedness of fractal dimension of a random invariant set. Then we establish the existence and uniqueness of tempered pullback random attractors. Finally, the finiteness of fractal dimension of the random attractors is proved. 相似文献
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Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Ginzburg–Landau Equations 下载免费PDF全文
This paper considers the dynamical behavior of solutions for non-autonomous stochastic fractional Ginzburg–Landau equations driven by additive noise with α∈(0, 1). First, we give some conditions for bounding the fractal dimension of a random invariant set of non-autonomous random dynamical system. Second, we derive uniform estimates of solutions and establish the existence and uniqueness of tempered pullback random attractors for the equation in H. At last, we prove the finiteness of fractal dimension of random attractors. 相似文献
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