Regularity for Suitable Weak Solutions to the Navier-Stokes Equations in Critical Morrey Spaces

2006/07/21 by G. Serëgin, Seregin, G
Engineering · Mathematics · #35K #76D #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.math/0607537

openalex publication_date 2006/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A class of sufficient conditions of local regularity for suitable weak solutions to the nonstationary three-dimensional Navier-Stokes equations are discussed. The corresponding results are formulated in terms of functionals which are invariant with respect to the Navier-Stokes equations scaling. The famous Caffarelli-Kohn-Nirenberg condition is contained in that class as a particular case.

Citations

• Sur le mouvement d'un liquide visqueux emplissant l'espace

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