等熵可压缩Navier-Stokes方程经典解的爆破

Blow up of Classical Solutions to Isentropic Compressible Navier-Stokes Equations

在速度梯度满足特定衰减约束且初始总动量不为零的假设下,讨论了三维空间中的等熵可压缩NavierStokes方程组柯西问题的爆破行为,所得结论推广了经典解的长时间行为的一些已有经典理论。

The blow up behavior of the Cauchy problem of isentropic compressible Navier-Stokes equations in three-dimensional space was discussed under the assumption that the velocity gradient satisfied certain decay constraints,and the initial total momentum did not vanish.The obtained conclusions are generalizations of the well-known results of some existing classical theories on the long-term behavior of classical solutions.