摘要
The current paper is devoted to stochastic Burgers equation with driving forcing given by white noise type in time and periodic in space. Motivated by the numerical results of Halter and Voss, we prove that the Burgers equation is stochastic stable in the sense that statistically steady regimes of ：fluid flows of stochastic Burgers equation converge to that of determinstic Burgers equation as noise tends to zero.
The current paper is devoted to stochastic Burgers equation with driving forcing given by white noise type in time and periodic in space. Motivated by the numerical results of Halter and Voss, we prove that the Burgers equation is stochastic stable in the sense that statistically steady regimes of ：fluid flows of stochastic Burgers equation converge to that of determinstic Burgers equation as noise tends to zero.
基金
Supported by NSF of China(Grant Nos.11101427,11371367)
Fundamental program of NUDT
