论文标题
随机SQG方程和2D无粘性关键Boussinesq方程的缩放限制带有传输噪声
Scaling Limits for Stochastic SQG Equations and 2D Inviscid Critical Boussinesq Equations with Transport Noises
论文作者
论文摘要
我们在$ \ mathbb {t}^2 $上研究随机SQG方程，并在$ l^2 $ setting中使用乘法噪声。在适当的噪声缩放下，我们表明溶液薄弱地转化为确定性耗散SQG方程的独特溶液。与随机2D无关的临界BousSinesQ方程式也证明了类似的缩放极限结果。
We study stochastic SQG equations on the torus $\mathbb{T}^2$ with multiplicative transport noise in the $L^2$-setting. Under a suitable scaling of the noise, we show that the solutions converge weakly to the unique solution to the deterministic dissipative SQG equation. A similar scaling limit result is proved also for the stochastic 2D inviscid critical Boussinesq equations.
