Local analyticity radii of solutions to the 3D Navier–Stokes equations with locally analytic forcing
Local analyticity radii of solutions to the 3D Navier–Stokes equations with locally analytic forcing
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DOI：
10.1016/j.jde.2015.05.009
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发表时间：
2015-10
影响因子：
2.4
通讯作者：
Z. Bradshaw;Z. Grujić;I. Kukavica
中科院分区：
文献类型：
--
作者：
Z. Bradshaw;Z. Grujić;I. Kukavica
本文介绍了一种新的方法来建立三维Navier-Stokes方程在内点处解的局部解析性和估计局部解析性半径。该方法是基于改写问题的二阶抛物型系统，然后估计使用温和的解决方案的方法。估计值与[16]中的全局解析半径一致，直到对数。
We introduce a new method for establishing local analyticity and estimating the local analyticity radius of a solutions to the 3D Navier–Stokes equations at interior points. The approach is based on rephrasing the problem in terms of second order parabolic systems which are then estimated using the mild solution approach. The estimates agree with the global analyticity radius from [16] up to a logarithm.