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arXiv · 2007.00985

Time-periodic weak solutions to incompressible generalized Newtonian fluids

Anna Abbatiello
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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.

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Anna Abbatiello. 2020-07-02. Time-periodic weak solutions to incompressible generalized Newtonian fluids. https://doi.org/10.1007/s00021-021-00576-0

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