期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

随机Kuramoto-Sivashinsky方程的有限元方法

A Finite Element Method for Stochastic Kuramoto-Sivashinsky Equation
下载PDF
导出
摘要 通过Karhunen-Loeve展式将随机Kuramoto-Sinvashinsky方程转化为确定型方程,分别利用差分和有限元对时间和空间进行离散,证明了解的存在唯一性和逼近性. In this paper, the existence, uniqueness and approximation of the solutions to the stochastic Kuramoto -Sinvashinsky equation are proved, by being transformed into a deterministic equation through the KarhunenLoeve expansion, and dispersing time and space with difference and definite elements respectively.
作者 敖斌 黄良成 陈豫眉
机构地区 西华师范大学数学与信息学院
出处 《绵阳师范学院学报》 2012年第5期13-17,共5页 Journal of Mianyang Teachers＇ College
基金 西华师范大学基金项目(10B013)
关键词 随机Kuramoto-Sivashinsky方程 有限元 Karhunen-Loeve分解 Stochastic Kuramoto -Sivashinsky equation finite element method Karhunen -Loevede composition
分类号 O241.82 [理学—计算数学]
  • 相关文献

参考文献10

  • 1Kuramoto Y.Diffusion induced chaos in reactions systems[J].Progr Theoret Phys Suppl,1987,64:346-367.
  • 2Sivashinsky G I.On flame propagation under conditions of stoichiometry[J].SIAM J Appl Math,1980,39:67-82.
  • 3Hooper A P,Grimshaw R.Nonlinear instability at the interface between two fluids[J].Phys Fluids,1985,28:37-45.
  • 4Kuramoto Y,Tsuzuki T.On the formation of dissipative structures in reaction-diffusion systems[J].Prog.Theor.Phy,1975,54(3):687.
  • 5Sivashinsky G I.Nonlinear analysis of hydrodynamic instability in laminar flames,Part I.Derivation of basis equations[J].Ac-ta.Astronaut,1977,4(3):1117.
  • 6宁宝权,马慧.一类多维广义KS型方程解的BLOW-UP[J].数学的实践与认识,2011,41(6):180-183. 被引量：2
  • 7赵琳琳,谢树森,郭翠平.Kuramoto-Sivashinsky方程的B样条Galerkin方法[J].数学的实践与认识,2004,34(5):126-132. 被引量：4
  • 8M.Loeve.Probability.Theroy fourthed,Springer,New York,1977.
  • 9I.Babuska,R.Tempone and G.Zouraris.Galerkin finite element approximations of stochastic elliptic partial differential equa-tions,Society for Industry and Applied Mathematics,US,2004.
  • 10胡建伟,汤怀民.微分方程数值方法[M].北京:科学出版社,2007:138-149.

二级参考文献8

  • 1Kuramoto Y. Diffusion induced chaos in reactions systems[J]. Progr Theoret Phys Suppl, 1978, 64: 346-367.
  • 2Sivashinsky G I. On flame propagation under conditions of stoiehiometry[J]. SIAM J Appl Math, 1980, 39: 67-82.
  • 3Hooper A P, Grimshaw R. Nonlinear instability at the interface between two fluids[J]. Phys Fluids, 1985, 28:37-45.
  • 4Coward A V, Papageorgiou D T, Smygrlis Y S. Nonlinear stability of Oscillatory core annular flow: A generlized Kuramoto-Sivashinsky equation with time periodic coeficients[J]. Zeit Angew Math Phys (ZPMA), 1995, 46:1-39.
  • 5Tadmor E. The well posedness of the Kuramoto-Sivashinsky equation[J]. SIAM J Math Anal, 1986, 17: 884-893.
  • 6Foias C, Jolly M S, Keverkidis I G, Titi E S. On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation[J]. Phys lett A, 1994, 186: 87-96.
  • 7江成顺,顾海明.Kuramoto-Sivashinsky方程解的定性分析[J].应用数学和力学,1999,20(11):1161-1167. 被引量：1
  • 8郭柏灵.The Global Attractors for the Periodic Initial Value Problem of Generalized Kuramoto-Sivashinsky Type Equations[J].Progress in Natural Science:Materials International,1993,3(4):327-340. 被引量：9

共引文献6

绵阳师范学院学报
2012年 第5期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部