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arXiv · 1204.0529

Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

Hao Jia·Vladimír Šverák
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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.

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Hao Jia, Vladimír Šverák. 2012-04-02. Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions. https://arxiv.org/abs/1204.0529

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