Time-periodic weak solutions to incompressible generalized Newtonian fluids
arXiv:2007.00985 · doi:10.1007/s00021-021-00576-0
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.