| 随机Kuramoto-Sivashinsky方程的指数稳定性 |
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| 引用本文： | 苏京燕,张启敏.随机Kuramoto-Sivashinsky方程的指数稳定性[J].安徽大学学报(自然科学版),2009,33(4). |
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| 作者姓名： | 苏京燕 张启敏 |
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| 作者单位： | 宁夏大学,数学计算机学院,宁夏,银川,750021 |
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| 基金项目： | 国家自然科学基金资助项目(10502026);;宁夏回族自治区科技厅自然科学基金资助项目(NXZ0835) |
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| 摘 要： | 对确定的Kuramoto-Sivashinsky方程(即g≡0),许多学者做了大量的研究,然而有关随机Kuramoto-Sivashinsky方程(即g≠0)解的研究却很少见到,因此,论文通过利用连续鞅的性质、It公式、Burkholder-Davis-Gundy不等式等技巧,讨论了随机Kuramoto-Sivashinsky方程解的指数稳定性,并在文章后给出了指数稳定的充分条件.
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| 关 键 词： | 随机系统 It公式 Burkholder-Davis-Gundy不等式 指数稳定性 |
Exponential stability of solution for the Kuramoto-Sivashinsky equation |
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| SU Jing-yan,ZHANG Qi-min.Exponential stability of solution for the Kuramoto-Sivashinsky equation[J].Journal of Anhui University(Natural Sciences),2009,33(4). |
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| Authors: | SU Jing-yan ZHANG Qi-min |
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| Institution: | School of Mathematics and Computer;Ningxia University;Yinchuan 750021;China |
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| Abstract: | There had been much achievement of Kuramoto-Sivashinsky equation(when g=0),but we seldom saw the research of Kuramoto-Sivashinsky equation(when g≠0).On the basis of former,in the paper,we discussed the exponential stability for a class of stochastic Kuramoto-Sivashinsky equation.The analysis consisted of using It(o) formula,Burkholder-Gundy inequality,Gronwall lemma.And in the end of the paper,the crteria was also obtained for the exponential stability. |
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| Keywords: | stochastic system It6 formula Burkhold-Davis-Gundy inequality exponential stability |
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