Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations
Analysis of PDEs
2018-07-09 v5
Abstract
We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the -norm of initial data is sufficiently small, then the regular solution exists globally in time.
Keywords
Cite
@article{arxiv.1705.02805,
title = {Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations},
author = {Kyungkeun Kang and Hwa Kil Kim and Jae-Myoung Kim},
journal= {arXiv preprint arXiv:1705.02805},
year = {2018}
}
Comments
28 pages, updated version