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Diffusion Wave for Navier-Stokes Equations in Even Space Dimensions
偶数维空间 Navier-Stokes 方程的扩散波

Keywords: General Navier-Stokes equation,Even multi-dimension,Large time behavior
一般Navier-Stokes方程
,偶数维空间,大时间状态

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Abstract:

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.

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