论文标题
随机强迫Navier-Stokes-Poisson系统在没有边界的域中的耗散群虫解决方案
Dissipative martingale solutions of the stochastically forced Navier--Stokes--Poisson system on domains without boundary
论文作者
论文摘要
我们在周期性的三维域或整个三维欧几里得空间中构建了随机造成的Navier -Stokes-poisson系统的解决方案。这些解决方案在PDES的意义上是薄弱的，并且在概率意义上也很弱。因此，它们从分布意义和基本概率空间和随机驱动力方面满足了系统的满足，这也是该问题的未知数。此外，这些解决方案消散了能量，在[4]的意义上满足了相对的能量不平等，并满足[5]意义上的连续性方程的重新归一化形式。
We construct solutions to the randomly-forced Navier--Stokes--Poisson system in periodic three-dimensional domains or in the whole three-dimensional Euclidean space. These solutions are weak in the sense of PDEs and also weak in the sense of probability. As such, they satisfy the system in the sense of distributions and the underlying probability space and the stochastic driving force are also unknowns of the problem. Additionally, these solutions dissipate energy, satisfies a relative energy inequality in the sense of [4] and satisfy a renormalized form of the continuity equation in the sense of [5].
