论文标题
一类随机二元模型的姿势和限制定理
Well posedness and limit theorems for a class of stochastic dyadic models
论文作者
论文摘要
我们考虑具有节能噪声的随机无关二元模型。结果表明，模型承认法律上独特的弱解决方案。在噪声的一定缩放限制下，随机模型薄弱地收敛到确定性粘性二元模型，我们根据噪声参数提供明确的收敛速率。还建立了基础定理的中心限制定理。如果随机二元模型是粘性的，我们显示了适当选择的噪声的耗散增强现象。
We consider stochastic inviscid dyadic models with energy-preserving noise. It is shown that the models admit weak solutions which are unique in law. Under a certain scaling limit of the noise, the stochastic models converge weakly to a deterministic viscous dyadic model, for which we provide explicit convergence rates in terms of the parameters of noise. A central limit theorem underlying such scaling limit is also established. In case that the stochastic dyadic model is viscous, we show the phenomenon of dissipation enhancement for suitably chosen noise.
