Existence of global weak solutions to NSE in weighted spaces

Fuente: arXiv
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Autore principale: Chernobai, Misha
Natura: Preprint
Pubblicazione: 2023
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author Chernobai, Misha
author_facet Chernobai, Misha
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_17702
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Existence of global weak solutions to NSE in weighted spaces
Chernobai, Misha
Analysis of PDEs
35Q30, 76D03, 76D05
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.
title Existence of global weak solutions to NSE in weighted spaces
topic Analysis of PDEs
35Q30, 76D03, 76D05
url https://arxiv.org/abs/2310.17702