Regularity and decay of global solutions for the 4D Navier-STokes equations posed on smooth domains
Analysis of PDEs
2023-05-17 v1
Abstract
We consider an initial-boundary value problem for the 4D Navier-Stokes equations posed on bounded smooth domains. We prove the existence and uniqiueness of regular solutions as well as their exponential decay and additional regularity properties have been established assuming restrictions on initial data.
Keywords
Cite
@article{arxiv.2305.09085,
title = {Regularity and decay of global solutions for the 4D Navier-STokes equations posed on smooth domains},
author = {Nikolai Larkin and Marcos Padilha},
journal= {arXiv preprint arXiv:2305.09085},
year = {2023}
}