论文标题
二维Navier-Stokes方程的法律非唯一性比完整的Laplacian弱弱
Non-uniqueness in law for two-dimensional Navier-Stokes equations with diffusion weaker than a full Laplacian
论文作者
论文摘要
我们研究了由随机噪声强制强迫的二维Navier-Stokes方程，其扩散术语通过分数拉普拉斯（Laplacian）概括，该分数严格少于一个。 Because intermittent jets are inherently three-dimensional, we instead adapt the theory of intermittent form of the two-dimensional stationary flows to the stochastic approach presented by Hofmanov$\acute{\mathrm{a}}$, Zhu $\&$ Zhu (2019, arXiv:1912.11841 [math.PR]) and prove its non-uniqueness in law.
We study the two-dimensional Navier-Stokes equations forced by random noise with a diffusive term generalized via a fractional Laplacian that has a positive exponent strictly less than one. Because intermittent jets are inherently three-dimensional, we instead adapt the theory of intermittent form of the two-dimensional stationary flows to the stochastic approach presented by Hofmanov$\acute{\mathrm{a}}$, Zhu $\&$ Zhu (2019, arXiv:1912.11841 [math.PR]) and prove its non-uniqueness in law.
