ERGODICITY OF THE TWO-DIMENSIONAL MAGNETIC BENARD PROBLEM

作者：Yamazaki Kazuo^*

来源：Electronic Journal of Differential Equations, 2016, 79.

• Benard problem
• ergodicity
• invariant measure
• irreducibility
• Krylov-Bogoliubov theorem
• strong Feller

We study the two-dimensional magnetic Benard problem with noise, white in time. We prove the well-posedness including the path-wise uniqueness of the generalized solution, and the existence of the unique invariant, and consequently ergodic, measure under random perturbation.

• 出版日期2016-3-16