TY  - JOUR
T1  - On a Navier-Stokes-Fourier-like system capturing transitions between viscous and inviscid  fluid regimes and between no-slip and perfect-slip boundary conditions
A1  - Maringová, Erika
A1  - Žabenský, Josef
JA  - Nonlinear Analysis: Real World Applications
Y1  - 2018
VL  - 41
SP  - 152
EP  - 178
M2  - doi: 10.1016/j.nonrwa.2017.10.008
N2  - We study a generalization of the Navier-Stokes-Fourier system for an incompressible 
uid where
the deviatoric part of the Cauchy stress tensor is related to the symmetric part of the velocity
gradient via a maximal monotone 2-graph that is continuously parametrized by the temperature.
As such, the considered 
uid may go through transitions between three of the following regimes:
it can 
ow as a Bingham 
uid for a specic value of the temperature, while it can behave as the
Navier-Stokes 
uid for another value of the temperature or, for yet another temperature, it can
respond as the Euler 
uid until a certain activation initiates the response of the Navier-Stokes

uid. At the same time, we regard a generalized threshold slip on the boundary that also may
go through various regimes continuously with the temperature. All material coecients like the
dynamic viscosity, friction or activation coecients are assumed to be temperature-dependent. We
establish the large-data and long-time existence of weak solutions, applying the L1-truncation
technique to approximate the velocity field.
M1  - Preprint project = MORE
M1  - Preprint year = 2017
M1  - Preprint number = 06
M1  - Preprint ID = MORE/2017/06
ER  -