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.
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)。
