Advances in Nonlinear Analysis (Sep 2021)

On the uniqueness for weak solutions of steady double-phase fluids

  • Abdelwahed Mohamed,
  • Berselli Luigi C.,
  • Chorfi Nejmeddine

DOI
https://doi.org/10.1515/anona-2020-0196
Journal volume & issue
Vol. 11, no. 1
pp. 454 – 468

Abstract

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We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1 2 to justify calculations for weak solutions. Results are obtained through a careful use of the symmetries of the convective term and are also valid for rather general (even anisotropic) stress-tensors.

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