Ergodicity of 3D Stochastic Burgers Equation  

作　　者：Zhao DONG Jiang Lun WU Guo Li ZHOU 

机构地区：[1]RCSDS,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China [2]Department of Mathematics,Computational Foundry,Swansea University,Swansea SA18EN,UK [3]College of Mathematics and Statistics,Chongqing University,Chongqing 400044,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第2期498-510,共13页数学学报（英文版）

基　　金：supported by National Key R&D Program of China(Grant Nos.2020YFA0712700);NNSF of China(Grant Nos.12090014,11931004,11971077);Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(Grant No.2008DP173182);Chongqing Key Laboratory of Analytic Mathematics and Applications,Chongqing University;Natural Science Foundation Project of CQ(Grant No.cstc2020jcyj-msxmX0441);Fundamental Research Funds for the Central Universities(Grant No.2020CDJ-LHZZ-027)。

摘　　要：3D Burgers equation is an important model for turbulence.It is natural to expect the long-time behaviour for this hydrodynamics equation.However,there is no result about the long-time behaviour for this deterministic model.Surprisingly,if the system is perturbed by stochastic noise,we establish the existence and uniqueness of invariant measure for 3D stochastic Burgers equation.

关 键 词：3D stochastic Burgers equations maximum principle ERGODICITY 

分 类 号：O211.6[理学—概率论与数理统计]