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 …

This article is concerned with the global regularity of weak solutions to systems describing
the flow of shear thickening fluids under the homogeneous Dirichlet boundary condition. The …

We consider a generalization of the Kelvin-Voigt model where the elastic part of the Cauchy
stress depends non-linearly on the linearized strain and the dissipative part of the Cauchy …

Optimal second-order regularity in the space variables is established for solutions to Cauchy–
Dirichlet problems for nonlinear parabolic equations and systems of p-Laplacian type, with …

We study interior regularity of solutions of a generalized stationary Stokes problem in the
plane. The main, elliptic part of the problem is given in the form div (A (D u)) div (A (D u)) …

In the analysis of weak solutions relevant to evolutionary flows of incompressible fluids with
non-constant viscosity or with non-linear constitutive equation, it is in general an open …

We establish the long-time existence of large-data weak solutions to a system of nonlinear
partial differential equations. The system of interest governs the motion of non-Newtonian …

This thesis provides qualitative convergence results of a sequence of numerical
approximate solutions for the flow of incompressible fluids subject to an implicit constitutive …

We deal with flows of non-Newtonian fluids in three-dimensional setting subjected to the
homogeneous Dirichlet boundary condition. Under the natural monotonicity, coercivity and …

We study mathematical properties of internal three-dimensional flows of incompressible heat-
conducting fluids with stick-slip boundary conditions, which state that the fluid adheres to the …