Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces

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

paper · pdf · doi:10.48550/arxiv.math/0607534

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

Abstract

We prove some estimates for suitable weak solutions to the non-stationary three-dimensional Navier-Stokes equations under assumptions that certain invariant functionals of the velocity are bounded.

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