English

Existence of global weak solutions to NSE in weighted spaces

Analysis of PDEs 2024-05-08 v4

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.

Keywords

Cite

@article{arxiv.2310.17702,
  title  = {Existence of global weak solutions to NSE in weighted spaces},
  author = {Misha Chernobai},
  journal= {arXiv preprint arXiv:2310.17702},
  year   = {2024}
}