论文标题
在$ \ mathbb {r}^{2} $上的MSQG方程的白噪声解决方案上
On White Noise Solutions of mSQG Equations on $\mathbb{R}^{2}$
论文作者
论文摘要
在本文中，我们显示了用于修饰表面准藻类（MSQG）方程的弱制剂的白噪声溶液的存在。基于先前的结果（\ cit {fs}）在圆环$ \ mathbb {t}^{2} $上的白噪声解决方案上，我们显示了整个空间$ \ mathbb {r}^{2} $的相似结果，通过让torus的体积进入Infientic and infliencation and Infriencations and apply compactness and compactness Modect（Skorem）（skorok）。
In this paper, we show existence of white noise solutions for weak formulations of modified Surface Quasi-Geostrophic (mSQG) equations. Based on previous results (\cite{FS}) on white noise solutions for mSQG equations on the torus $\mathbb{T}^{2}$, we show a similar result for the whole space $\mathbb{R}^{2}$ by letting the volume of the torus go to infinity and applying compactness methods (Skorokhod's theorem).
