arXiv subjects

Anna Abbatiello

Publications and source records attributed to Anna Abbatiello.

20 records · Page 2Linked to original sources

arXiv2019

Existence of regular time-periodic solution to shear-thinning fluids

In this note we investigate the existence of time-periodic solutions to the $p$-Navier-Stokes system in the singular case of $p\in (1, 2)$, that describes the flows of an incompressible shear-thinning fluid. In the $3D$ space-periodic setting and for $p \in [ \frac{5}{3} , 2)$ we prove the existence of a regular time-periodic solution corresponding to a time periodic force data which is assumed small in a suitable sense. As a particular case we obtain `regular' steady solutions.

math.AP↗

arXiv2018

On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index

Steady flows of an incompressible homogeneous chemically reacting fluid are described by a coupled system, consisting of the generalized Navier--Stokes equations and convection - diffusion equation with diffusivity dependent on the concentration and the shear rate. Cauchy stress behaves like power-law fluid with the exponent depending on the concentration. We prove the existence of a classical solution for the two dimensional periodic case whenever the power law exponent is above one and less than infinity.

math.AP↗