Uniqueness of solutions to to Navier Stokes equation with small initial data in L^3,∞(R³)

2014/09/30 by Hao Jia, Jia, Hao
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1409.8382

8 pages

arxiv created 2014/09/30 · openalex publication_date 2014/09/30 · arxiv updated 2014/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note we address a problem raised in [21], concerning the uniqueness of solutions to Naiver Stokes equation with small initial data in L^3,∞(R³), the Lorentz space. We prove uniqueness for such initial data.

Citations

• Sur le mouvement d'un liquide visqueux emplissant l'espace
• Hp spaces of several variables

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