In this note we investigate the existence of time-periodic solutions to the p-Navier–Stokes system in the singular case of p∈ (1 , 2) , which describes the flows of an incompressible shear-thinning fluid. In the 3D space-periodic setting and for p∈[53,2) we prove the existence of a regular time-periodic solution corresponding to a time-periodic force datum that is assumed small in a suitable sense. As a particular case we obtain “regular” steady solutions.
Existence of Regular Time-Periodic Solutions to Shear-Thinning Fluids
Abbatiello A.;Maremonti P.
2019
Abstract
In this note we investigate the existence of time-periodic solutions to the p-Navier–Stokes system in the singular case of p∈ (1 , 2) , which describes the flows of an incompressible shear-thinning fluid. In the 3D space-periodic setting and for p∈[53,2) we prove the existence of a regular time-periodic solution corresponding to a time-periodic force datum that is assumed small in a suitable sense. As a particular case we obtain “regular” steady solutions.File in questo prodotto:
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