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

Ginzburg-Landau equation can find application in some domains of physics like fluid mechanics and wave propagation; 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-dimensional space. It is proved that the stochastic dynamical system possesses a random attracting set in spaceH and V and the said system exists the random attractors in spaceH