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Existence of global weak solutions to NSE in weighted spaces (2310.17702v4)
Published 26 Oct 2023 in math.AP
Abstract: We obtain a global existence result for the three-dimensional Navier-Stokes equations with a large class of initial data allowing growth at spatial infinity. Our work is a continuation of the results by T.-P. Tsai, Z. Bradshaw, I. Kukavica and proves global existence of suitable weak solutions with initial data in different weighted spaces as well as eventual regularity.