3 papers
math.AP2023
On a blow-up criterion for the Navier-Stokes-Fourier system under general equations of state
Anna Abbatiello, Danica Basarić, Nilasis Chaudhuri
In this paper we prove a blow-up criterion for the compressible Navier-Stokes-Fourier system for general thermal and caloric equations of state with inhomogeneous boundary conditio…
math.AP2023
Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions
Danica Basarić, Eduard Feireisl, Hana Mizerová
We consider the Navier-Stokes-Fourier system with the inhomogeneous boundary conditions for the velocity and the temperature. We show that solutions emanating from sufficiently reg…
math.AP2021
Penalization method for the Navier-Stokes-Fourier system
Danica Basarić, Eduard Feireisl, Mária Lukáčová-Medviďová +2
We apply the method of penalization to the Dirichlet problem for the Navier-Stokes-Fourier system governing the motion of a general viscous compressible fluid confined to a bounded…