论文标题
汉堡系统的终身性
Ergodicity of Burgers' system
论文作者
论文摘要
我们考虑了由汉堡制定的两个方程式系统的随机版本，目的是描述通道中流体的层流和湍流运动。 Twardowska和Zabczyk给出了解决方案的存在和独特性以及这种系统的不可约性属性。在本文中，研究了一种独特的不变措施。该论文概括了Da Prato，Debussche和Temam，以及Da Prato和Gatarek的结果，该结果仅描述了一个方程，仅描述了动荡的运动。
We consider a stochastic version of a system of coupled two equations formulated by Burgers with the aim to describe the laminar and turbulent motions of a fluid in a channel. The existence and uniqueness of the solution as well as the irreducibility property of such system were given by Twardowska and Zabczyk. In the paper the existence of a unique invariant measure is investigated. The paper generalizes the results of Da Prato, Debussche and Temam, and Da Prato and Gatarek, dealing with one equation describing the turbulent motion only.
