论文标题
粘性流体中螺旋性的概率表示
Probabilistic representation of helicity in viscous fluids
论文作者
论文摘要
结果表明，可以通过流体的初始涡度与随机平均场限制的期望的总体联系来识别三维粘性不可压缩流的螺旋性。相关的平均场极限是通过遵循随机的哈密顿相互作用粒子系统中的拉格朗日路径来获得的[S. Hochgerner，Proc。 R. Soc。 A 474：20180178]。
It is shown that the helicity of three dimensional viscous incompressible flow can be identified with the overall linking of the fluid's initial vorticity to the expectation of a stochastic mean field limit. The relevant mean field limit is obtained by following the Lagrangian paths in the stochastic Hamiltonian interacting particle system of [S. Hochgerner, Proc. R. Soc. A 474:20180178].
