Ergodicity of 3D Stochastic Burgers Equation

Ergodicity of 3D Stochastic Burgers Equation
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DOI:
10.1007/s10114-023-2055-4
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发表时间:
2023-09
期刊:
Acta Mathematica Sinica, English Series
影响因子:
--
通讯作者:
Zhao Dong;Jiang Lun Wu;Guo Li Zhou
Zhao Dong;Jiang Lun Wu;Guo Li Zhou
中科院分区:
其他
文献类型:
--
作者:
Zhao Dong;Jiang Lun Wu;Guo Li Zhou

文献摘要

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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.