带Neumann边界条件的3维随机Ginzburg-Landau方程的渐近行为  

Asymptotic Behavior for the 3-Dimensional Stochastic Ginzburg-Landau Equation with Neumann Boundary Conditions

作　　者：张元元[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610068

出　　处：《内江师范学院学报》2014年第6期7-11,共5页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(11347102);四川省杰出青年带头人培育计划基金项目(2012JQ0041)

摘　　要：Ginzburg-Landau方程应用于一些物理领域,如流体力学,波传播等.同时,作为一类抛物方程模型它在数学领域也受到关注.文章旨在研究3维空间中带非齐次Neumann边界条件的随机广义Ginzburg-Landau方程的渐近行为,通过证明方程产生的随机动力系统在空间H和空间V中存在吸收集,证明了该系统在空间H中随机吸引子的存在性.Ginzburg-Landau equation can find application in some domains of physics like fluid mechanics and wave prop- agation; and it attracts attention in the field of mathematics as a model of parabolic equation. The asymptotic behavior for the stochastic generalized Ginzburg-Landau equation with inhomogeneous Neumann boundary conditions is examined in the 3-di- mensional space. It is proved that the stochastic dynamical system possesses a random attracting set in space H and V and the said system exists the random attractors in space H.

关 键 词：随机广义Ginzburg-Landau方程 非齐次Neumann边界条件 随机动力系统 随机吸引子 

分 类 号：O175.29[理学—数学]