We deal with a system of partial differential equations describing a steady motion of an
incompressible fluid with shear-dependent viscosity and present a new global existence …

There are many technologically important problems such as elastohydrodynamics which
involve the flows of a fluid over a wide range of pressures. While the density of the fluid …

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)) …

For an evolutionary nonlinear fluid model characterized by the viscosity being a decreasing
function of the modulus of the symmetric velocity gradient we establish the global-in-time …

This paper focuses on the so-called weighted inertia-dissipation-energy variational
approach for the approximation of unsteady Leray–Hopf solutions of the incompressible …

We study a planar flow of a generalized Newtonian fluid under the Dirichlet boundary
condition. The fluid is characterized by a nonlinear dependence of the stress tensor on the …

We study global regularity of nonlinear systems of partial differential equations depending
on the symmetric part of the gradient with Dirichlet boundary conditions. These systems …

We consider a class of incompressible fluids whose viscosities depend on the pressure and
the shear rate. The existence of weak solutions for steady flows of such fluids subject to …

We prove an L q theory result for generalized Stokes system in a C^ 2, 1 C 2, 1 domain
complemented with the perfect slip boundary conditions and under Φ-growth conditions …

We investigate boundary regularity of solutions of generalized Stokes equations. The
problem is complemented with perfect slip boundary conditions and we assume that the …