论文标题
在Navier-Stokes方程式上，随机谎言运输
On the Navier-Stokes Equations with Stochastic Lie Transport
论文作者
论文摘要
我们证明了对3D盐的最大溶液的存在和独特性（分别在速度和涡旋形式中，在速度和涡旋形式中，纳维尔 - 斯托克斯方程分别在圆环和边界域上，纳维尔 - 斯托克斯方程分别是3D盐的存在和独特性。当前的工作合作伙伴论文[Goodair等，Arxiv：2209.09137]作为在此提出的抽象框架的应用，证明了[Goodair，Arxiv：2202.09242V2]首次宣布的结果。特别是这代表了界面上的一般传输类型噪声扰动流体方程的第一个良好结果。
We prove the existence and uniqueness of maximal solutions to the 3D SALT (Stochastic Advection by Lie Transport, [Holm arXiv:1410.8311]) Navier-Stokes Equation in velocity and vorticity form, on the torus and the bounded domain respectively. The current work partners the paper [Goodair et al, arXiv:2209.09137] as an application of the abstract framework presented there, justifying the results first announced in [Goodair, arXiv:2202.09242v2]. In particular this represents the first well-posedness result for a fluid equation perturbed by a general transport type noise on a bounded domain.
