论文标题
3D Navier-Stokes方程的非平滑解决方案可能会发展
How and why non smooth solutions of the 3D Navier-Stokes equations could possibly develop
论文作者
论文摘要
适当地建造和检查，在有限的时间内表现出合理的规律性衰减，以三维形式进行三维形式。涡旋环是本研究的主要成分。完整的Navier-Stokes系统将转换为3D标量问题，并在实现适当的数值方法中以找出解决方案的行为。 2D和1D中的进一步简化提供了有趣的玩具问题，可以用作更好地了解爆炸现象的起始平台。
Fluid configurations in three-dimensions, displaying a plausible decay of regularity in a finite time, are suitably built and examined. Vortex rings are the primary ingredients in this study. The full Navier-Stokes system is converted into a 3D scalar problem, where appropriate numerical methods are implemented in order to figure out the behavior of the solutions. Further simplifications in 2D and 1D provide interesting toy problems, that may be used as a starting platform for a better understanding of blowup phenomena.
