偶数维空间Navier-Stokes方程的扩散波

Diffusion Wave for Navier-Stokes Equations in Even Space Dimensions

该文考虑偶数维空间一般Navier-Stokes方程解的大时间状态。通过研究相应线性方程格林函数的逐点估计,得到了解的渐近状态。所得结论与弱惠更斯原理相符合。

The authors study the large time behavior of solutions to general Navier-stokes equations in even space-dimension. Through the pointwise estimate of the Green function of the linearized system, the authors obtain explicit expressions of the time-asymptotic behavior of the solutions. The result coincides with weak Huygen＇s principle.