We apply the technique of convex integration to obtain non-uniqueness and existence
results for power-law fluids, in dimension d ≥ 3 d≥ 3. For the power index q below the …

In the first part of the paper we provide a new classification of incompressible fluids
characterized by a continuous monotone relation between the velocity gradient and the …

We analyze continuous data assimilation by nudging for the 3D Ladyzhenskaya equations.
The analysis provides conditions on the spatial resolution of the observed data that …

Long-time and large-data existence of weak solutions for initial-and boundary-value
problems concerning three-dimensional flows of incompressible fluids is nowadays …

In this paper, we consider a fully-discrete approximation of an abstract evolution equation
deploying a non-conforming spatial approximation and finite differences in time (Rothe …

We investigate the existence of weak solutions to a certain system of partial differential
equations, modeling the behavior of a compressible non‐Newtonian fluid for small Reynolds …

We present the global modification of the Ladyzhenskaya equations, for incompressible non-
Newtonian fluids. This modification is through a cut-off function that multiplies the convective …

We consider 3D incompressible non-Newtonian fluid, subject to a dynamic boundary
condition. Using an iteration scheme in Nikolski-Bochner spaces, we obtain additional …

We study the mathematical properties of time-dependent flows of incompressible fluids that
respond as an Euler fluid until the modulus of the symmetric part of the velocity gradient …

We prove the existence of weak solutions to steady, compressible non-Newtonian Navier-
Stokes system on a bounded, two-or three-dimensional domain. Assuming the viscous …