论文标题
浓缩涡流环的消失粘度极限
Vanishing viscosity limit for concentrated vortex rings
论文作者
论文摘要
当初始涡度非常集中在$ n $脱节环上时，我们研究粘性不可压缩的流体与轴向对称性的时间演变。我们表明，在合适的关节极限中，环的厚度和粘度都趋于零，涡度仍集中在$ n $脱节的环上，每个人都以恒定的速度沿对称轴进行简单的翻译。
We study the time evolution of a viscous incompressible fluid with axial symmetry without swirl, when the initial vorticity is very concentrated in $N$ disjoint rings. We show that in a suitable joint limit, in which both the thickness of the rings and the viscosity tend to zero, the vorticity remains concentrated in $N$ disjointed rings, each one of them performing a simple translation along the symmetry axis with constant speed.
