Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions |
| |
Authors: | Hao Jia Vladimír Šverák |
| |
Affiliation: | 1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA
|
| |
Abstract: | We show that the classical Cauchy problem for the incompressible 3d Navier-Stokes equations with (?1)-homogeneous initial data has a global scale-invariant solution which is smooth for positive times. Our main technical tools are local-in-space regularity estimates near the initial time, which are of independent interest. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|