论文标题
随机Navier-Stokes方程在薄的球形域上
Stochastic Navier-Stokes equations on a thin spherical domain
论文作者
论文摘要
在薄球形域上的不可压缩的Navier-Stokes方程$ q_ \ varepsilon $以及随机强迫下的自由边界条件。这些方程式的martingale解决方案与球体navier-stokes方程在球体上的mathbb $ \ mathbb {s}^2 $上的martingale解决方案的收敛性，因为厚度会收敛到零。
Incompressible Navier-Stokes equations on a thin spherical domain $Q_\varepsilon$ along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of the stochastic Navier-Stokes equations on a sphere $\mathbb{S}^2$ as the thickness converges to zero is established.
