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Paper detail

Time-periodic weak solutions to incompressible generalized Newtonian fluids

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.

preprint2020arXivOpen access
Anna Abbatiello
math.APmath-phmath.MP
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Anna Abbatiello

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