论文标题
线性随机二元模型
Linear Stochastic Dyadic model
论文作者
论文摘要
我们讨论与湍流二元模型相关的随机相互作用的系统,定义了合适的解决方案,并证明了它们的存在和独特性。我们研究了一种称为中等的特定解决方案家族的规律性,并以与此类中等解决方案相关的不变措施的存在和唯一性结论。
We discuss a stochastic interacting particles' system connected to dyadic models of turbulence, defining suitable classes of solutions and proving their existence and uniqueness. We investigate the regularity of a particular family of solutions, called moderate, and we conclude with existence and uniqueness of invariant measures associated with such moderate solutions.