论文标题
随机噪声强制强制强制的二维表面准斑块方程的法律上的非唯一性
Non-uniqueness in law of the two-dimensional surface quasi-geostrophic equations forced by random noise
论文作者
论文摘要
通过概率凸的整合，我们证明了二维表面准地藻型方程的法律不唯一性，该方程是由加性类型的随机噪声强制强制的。在其证明中，我们在动量的方程式上工作，而不是温度，这是对随机表面准地藻方程的研究。我们还将经典的calder $ \ acute {\ mathrm {o}} $ n换向器估算到分数laplacians的情况。
Via probabilistic convex integration, we prove non-uniqueness in law of the two-dimensional surface quasi-geostrophic equations forced by random noise of additive type. In its proof we work on the equation of the momentum rather than the temperature, which is new in the study of the stochastic surface quasi-geostrophic equations. We also generalize the classical Calder$\acute{\mathrm{o}}$n commutator estimate to the case of fractional Laplacians.
