We present a new exact solution of the thermal diffusion equations for steady-state shear
flows of a binary fluid. Shear fluid flows are used in modeling and simulating large-scale …

We consider an optimal control problem for non-isothermal steady flows of low-concentrated
aqueous polymer solutions in a bounded 3D domain. In this problem, the state functions are …

We study a feedback optimal control problem for a three-dimensional model of a stationary
flow of a non-Newtonian fluid (with variable viscosity) in a pipeline network with complex …

This paper deals with a 3D mathematical model for the non-isothermal steady-state flow of
an incompressible fluid with temperature-dependent viscosity in a pipeline network. Using …

We prove Hölder continuity of gradient of a unique weak solution for unsteady generalized
Navier–Stokes equations with p (x, t)-power law with Dirichlet type boundary condition under …

Motivated by recent interest on Kirchhoff-type equations, in this short note we utilize a
classical, yet very powerful, tool of nonlinear functional analysis in order to investigate the …

In this paper, we propose a novel mathematical model that describes steady‐state 3D flows
of a non‐Newtonian fluid with shear‐dependent viscosity in a pipe network. Our approach is …

The contribution is devoted to combined shape-and mesh-update strategies for parameter-
free (CAD-free) shape optimization methods. Three different strategies to translate the shape …

We show that a weak solution for unsteady 3D shear thickening flows becomes a strong
solution, for 2≤ p< 11 5, provided that the velocity field u belongs to the critical space L β (0 …

In this paper, we show that a weak solution for unsteady flows of 3D shear‐thinning fluids is
strong under certain integrability assumptions about two components of the vorticity. In …