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arXiv physics/0610101physics.flu-dyn
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三维Navier Stokes方程组复解的爆破

Blow Ups of Complex Solutions of the 3D-Navier-Stokes System

Dong Li, Yakov Sinai

摘要:

本文研究了三维Navier-Stokes方程组在$R^3$上无外力作用下的复值解。我们表明,存在一个开放的空间中的10个参数的家庭的初始条件,使每个家庭从这个集合中有值的参数的解决方案开发爆破在有限的时间。

英文摘要:

We consider complex-valued solutions of the three-dimensional Navier-Stokes system without external forcing on $R^3$. We show that there exists an open set in the space of 10-parameter families of initial conditions such that for each family from this set there are values of parameters for which the solution develops blow up in finite time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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