9 citations · 20 across the 9 of their papers we have counts for
13 papers
On the exponential decay in time of solutions to a~generalized Navier-Stokes-Fourier system
Anna Abbatiello, Miroslav Bulíček, Petr Kaplický
We consider a non-Newtonian incompressible heat conducting fluid with prescribed nonuniform temperature on the boundary and with the no-slip boundary conditions for the velocity. W…
The Oberbeck-Boussinesq system with non-local boundary conditions
Anna Abbatiello, Eduard Feireisl
We consider the Oberbeck--Boussinesq system with non--local boundary conditions arising as a singular limit of the full Navier--Stokes--Fourier system in the regime of low Mach and…
On solutions for a generalized Navier-Stokes-Fourier system fulfilling entropy equality
Anna Abbatiello, Miroslav Bulíček, Petr Kaplický
We consider a flow of non-Newtonian heat conducting incompressible fluid in a bounded domain subjected to the homogeneous Dirichlet boundary condition for the velocity field and th…
On the motion of a compressible viscous fluid driven by time periodic inflow/outflow boundary conditions
Anna Abbatiello, Eduard Feireisl
We consider the barotropic Navier-Stokes system describing the motion of a compressible viscous fluid confined to a bounded domain driven by time periodic inflow/outflow boundary c…
On the dynamic slip boundary condition for Navier--Stokes-like problems
Anna Abbatiello, Miroslav Bulíček, Erika Maringová
The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface, despite the assumption of the no-slip condi…
Time-periodic weak solutions to incompressible generalized Newtonian fluids
Anna Abbatiello
In this study we are interested in the Navier-Stokes-like system for generalized viscous fluids whose viscosity has a power-structure with exponent q. We develop an existence theor…
On unsteady flows of pore pressure-activated granular materials
Anna Abbatiello, Miroslav Bulíček, Tomáš Los +2
We investigate mathematical properties of the system of nonlinear partial differential equations that describe, under certain simplifying assumptions, evolutionary processes in wat…
Generalized solutions to models of compressible viscous fluids
Anna Abbatiello, Eduard Feireisl, Antonin Novotny
We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equatio…
On a class of generalized solutions to equations describing incompressible viscous fluids
A. Abbatiello, E. Feireisl
We consider a class of viscous fluids with a general monotone dependence of the viscous stress on the symmetric velocity gradient. We introduce the concept of dissipative solution…
On strong continuity of weak solutions to the compressible Euler system
Anna Abbatiello, Eduard Feireisl
Let be an arbitrary countable (dense) set. We show that for any given initial density and momentum, the compressible Euler syst…
Existence of regular time-periodic solution to shear-thinning fluids
Anna Abbatiello, Paolo Maremonti
In this note we investigate the existence of time-periodic solutions to the -Navier-Stokes system in the singular case of , that describes the flows of an incompres…
On three-dimensional flows of pore pressure activated Bingham fluids
Anna Abbatiello, Tomáš Los, Josef Málek +1
We are concerned with a system of partial differential equations describing internal flows of homogeneous incompressible fluids of Bingham type in which the value of activation (th…
On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index
Anna Abbatiello, Miroslav Bulíček, Petr Kaplický
Steady flows of an incompressible homogeneous chemically reacting fluid are described by a coupled system, consisting of the generalized Navier--Stokes equations and convection - d…