Weak solutions for steady, fully inhomogeneous generalized Navier-Stokes equations
Analysis of PDEs
2023-06-13 v1
Abstract
We consider the question of existence of weak solutions for the fully inhomogeneous, stationary generalized Navier-Stokes equations for homogeneous, shear-thinning fluids. For a shear rate exponent , previous results require either smallness of the norm or vanishing of the normal component of the boundary data. In this work, combining previous methods, we propose a new, more general smallness condition.
Cite
@article{arxiv.2306.07094,
title = {Weak solutions for steady, fully inhomogeneous generalized Navier-Stokes equations},
author = {Julius Jeßberger and Michael Růžička},
journal= {arXiv preprint arXiv:2306.07094},
year = {2023}
}