activity
20182022
most citedOn a class of generalized solutions to equations describing incompressible viscous fluids

1 citations · 1 across the 3 of their papers we have counts for

collaborators

10 papers

math.AP2022

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…

math.AP2021

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…

math.AP2020

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…

math.AP2020

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…

math.AP2019

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…

math.AP20191 cited

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…