Time-periodic weak solutions to incompressible generalized Newtonian fluids
Analysis of PDEs
2023-01-11 v1 Mathematical Physics
math.MP
Abstract
In this study we are interested in the Navier-Stokes-like system for generalized viscous fluids whose viscosity has a power-structure with exponent q. We develop an existence theory of periodic in time weak solutions to the three-dimensional flows subject to a periodic in time force datum whenever q>6/5, which is the optimal bound for the existence of weak solutions.
Keywords
Cite
@article{arxiv.2007.00985,
title = {Time-periodic weak solutions to incompressible generalized Newtonian fluids},
author = {Anna Abbatiello},
journal= {arXiv preprint arXiv:2007.00985},
year = {2023}
}