16 citations · 53 across the 11 of their papers we have counts for
12 papers
Compressible magnetohydrodynamics as a dissipative system
Jan Brezina, Eduard Feireisl
We consider the complete system of equations governing the motion of a general compressible, viscous, electrically and heat conductive fluid driven by non-conservative boundary con…
Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions
Jan Brezina, Eduard Feireisl, Antonin Novotny
We consider the barotropic Navier--Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out flux boundary conditi…
On convergence to equilibria of flows of compressible viscous fluids under in/out-flux boundary conditions
Jan Brezina, Eduard Feireisl, Antonin Novotny
We consider the barotropic Navier--Stokes system describing the motion of a compressible Newtonian fluid in a bounded domain with in and out flux boundary conditions. We show that…
Low stratifucation of the complete Euler system
Jan Březina, Václav Mácha
The present paper takes advantage of the concept of dissipative measure-valued solutions to show the rigorous derivation of the Euler-Boussinesq (EB) system that has been successfu…
Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas
Jan Březina, Ondřej Kreml, Václav Mácha
We study the Riemann problem for the isentropic compressible Euler equations in two space dimensions with the pressure law describing the Chaplygin gas. It is well known that there…
Existence of measure-valued solutions to a complete Euler system for a perfect gas
Jan Brezina
The concept of renormalized dissipative measures-valued (rDMV) solutions to a complete Euler system for a perfect gas was introduced in [8] and further discussed in [9]. Moreover i…
Stability of strong solutions to the Navier-Stokes-Fourier system
Jan Brezina, Eduard Feireisl, Antonin Novotny
We identify a large class of objects - dissipative measure-valued (DMV) solutions to the Navier-Stokes-Fourier system - in which the strong solutions are stable. More precisely, a…
Maximal dissipation principle for the complete Euler system
Jan Brezina, Eduard Feireisl
We introduce the concept of maximal dissipative measure-valued solution to the complete Euler system. These are solutions that maximize the entropy production rate. We show that th…
Measure-valued solutions to the complete Euler system revisited
Jan Brezina, Eduard Feireisl
We consider the complete Euler system describing the time evolution of a general inviscid compressible fluid. We introduce a new concept of measure-valued solution based on the tot…
Measure-valued solutions to the complete Euler system
Jan Brezina, Eduard Feireisl
We introduce the concept of dissipative measure-valued solution to the complete Euler system describing the motion of an inviscid compressible fluid. These solutions are characteri…
Dimension reduction for the full Navier-Stokes-Fourier system
Jan Březina, Ondřej Kreml, Václav Mácha
It is well known that the full Navier-Stokes-Fourier system does not possess a strong solution in three dimensions which causes problems in applications. However, when modeling the…
BDDC for Mixed-Hybrid Formulation of Flow in Porous Media with Combined Mesh Dimensions
Jakub Šístek, Jan Březina, Bedřich Sousedík
We extend the Balancing Domain Decomposition by Constraints (BDDC) method to flows in porous media discretised by mixed-hybrid finite elements with combined mesh dimensions. Such d…