On the Relation between Very Weak and Leray-Hopf Solutions to\n Navier-Stokes Equations

2018/09/11 by Giovanni P. Galdi, Galdi, Giovanni P.
Engineering · Mathematics · #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.1809.03991

openalex publication_date 2018/09/11 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28

Abstract

We prove a general result that implies that very weak solutions to the Cauchy\nproblem for the Navier-Stokes equations must be, in fact, Leray-Hopf solutions\nif only their initial data are (solenoidal) with finite kinetic energy.\n

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