不可压流体动力学流动中的打结流管和一个限制守恒量
On knotted streamtubes in incompressible hydrodynamical flow and a restricted conserved quantity
摘要:
对于某些流体流族,建立了一个新的守恒量--流螺旋度。以连接流管和打结流管为例,证明了流螺旋度在某些情况下具有非常精确的拓扑意义,即流管打结或连接程度的度量。因此,流螺旋度成为一个强有力的拓扑不变量。
英文摘要:
For certain families of fluid flow, a new conserved quantity -- stream-helicity -- has been established.Using examples of linked and knotted streamtubes, it has been shown that stream-helicity does, in certain cases, entertain itself with a very precise topological meaning viz, measure of the degree of knottedness or linkage of streamtubes.As a consequence, stream-helicity emerges as a robust topological invariant.
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