论文标题
3D Euler方程的涡流拉伸局部性
Locality of vortex stretching for the 3D Euler equations
论文作者
论文摘要
我们考虑在以下情况下考虑3D不可压缩的Euler方程：小规模的涡旋斑点被规定的大规模固定流程拉伸。更确切地说，我们澄清了哪种大规模固定流真正伸展小规模的涡旋斑点，与紧张的方向保持一致。关键思想是构建拉格朗日坐标，以使谎言支架相同为零（C.F. Frobenius Theorem），并通过使用压力项来研究压力项的位置。
We consider the 3D incompressible Euler equations under the following situation: small-scale vortex blob being stretched by a prescribed large-scale stationary flow. More precisely, we clarify what kind of large-scale stationary flows really stretch small-scale vortex blobs in alignment with the straining direction. The key idea is constructing a Lagrangian coordinate so that the Lie bracket is identically zero (c.f. the Frobenius theorem), and investigate the locality of the pressure term by using it.
