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@ARTICLE{,
            author = {Maringov{\'{a}}, Erika and Žabensk{\'{y}}, Josef},
             month = jun,
             title = {On a Navier-Stokes-Fourier-like system capturing transitions between viscous and inviscid  fluid regimes and between no-slip and perfect-slip boundary conditions},
           journal = {Nonlinear Analysis: Real World Applications},
            volume = {41},
              year = {2018},
             pages = {152--178},
               doi = {10.1016/j.nonrwa.2017.10.008},
          abstract = {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 coecients like the
dynamic viscosity, friction or activation coecients 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.},
  Preprint project = {MORE},
     Preprint year = {2017},
   Preprint number = {06},
       Preprint ID = {MORE/2017/06}
}

