论文标题
真实的金茨堡 - 兰道方程与堕落的noiss的真人性和指数混合
Ergodicity and exponential mixing of the real Ginzburg-Landau equation with a degenerate noiss
论文作者
论文摘要
在本文中，我们确定了实际的金茨堡 - 兰道方程的不变度度量的存在，唯一性和吸引力，在存在下仅在四个方向上起作用的退化随机强迫。主要的挑战是建立与该系统相对应的马尔可夫动力学的时间渐近平滑特性。为了实现这一目标，我们提出了一个只需要四个声音的条件
In this paper, we establish the existence, uniqueness and attraction properties of an invariant measure for the real Ginzburg-Landau equation in the presence of a degenerate stochastic forcing acting only in four directions. The main challenge is to establish time asymptotic smoothing properties of the Markovian dynamics corresponding to this system. To achieve this, we propose a condition which only requires four noises
