Navier-Stokes方程组和扩散过程Cauchy问题的广义解
Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
摘要：
我们将Navier-Stokes方程组Cauchy问题的弱解的构造归结为随机问题的解的构造。也就是说，我们构造扩散过程，使我们能够获得一个概率表示的弱（在分布意义上）的Navier-Stokes系统的柯西问题的解决方案。
英文摘要：
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a solution to a stochastic problem. Namely, we construct diffusion processes which allow us to obtain a probabilistic representation of a weak (in distributional sense) solution to the Cauchy problem for the Navier- Stokes system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
