标题： 谱各向异性在三维纳维-斯托克斯方程求解中的作用 显示英文标题

标题： The role of spectral anisotropy in the resolution of the three-dimensional Navier-Stokes equations

摘要： 我们向三维不可压缩纳维-斯托克斯方程提供了不同的初始数据类，这些数据在终点函数空间中可能任意大，但在该空间中可以使用不动点论证来局部求解方程，它们会产生全局时间的唯一解。 这些初始数据的主要特点是其频率的各向异性分布。其中一类来自作者和合作者之前的论文，另一类是新的。 显示英文摘要

摘要： We present different classes of initial data to the three-dimensional, incompressible Navier-Stokes equations, which generate a global in time, unique solution though they may be arbitrarily large in the end-point function space in which a fixed-point argument may be used to solve the equation locally in time. The main feature of these initial data is an anisotropic distribution of their frequencies. One of those classes is taken from previous papers by two of the authors and collaborators, and another one is new.