Weak solutions to the Navier-Stokes equations

2022/09/13 by Herbst, Ira
#35D30 #35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.06189

Abstract

We prove the equivalence of being a Leray-Hopf weak solution to the Navier-Stokes equations in ℝ^m, m ≥ 3, to satisfying a well known integral equation. We use this equation to derive some properties of these weak solutions.

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