论文标题
无粘性涡流拉伸方程的有限时间爆炸
Finite-time blowup for the inviscid vortex stretching equation
论文作者
论文摘要
在本文中，我们将介绍无粘性涡旋拉伸方程，这是3D Euler方程的模型方程，其中忽略了涡度的对流。我们将证明，即使限制了轴对称，无漩涡的溶液，也有有限时间爆炸的方程式解决方案。这提供了进一步的证据，证明了对流在耗尽3D Euler方程解决方案的非线性涡流拉伸方程的作用。
In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation for the 3D Euler equation where the advection of vorticity is neglected. We will show that there are smooth solutions of this equation which blowup in finite-time, even when restricting to axisymmetric, swirl-free solutions. This provides further evidence of the role of advection in depleting nonlinear vortex stretching for solutions of the 3D Euler equation.
