253 citations · 685 across the 30 of their papers we have counts for
6 papers · 1 filter
Navier-Stokes-Fourier system with general boundary conditions
Eduard Feireisl, Antonin Novotny
We consider the Navier--Stokes--Fourier system in a bounded domain , , with physically realistic in/out flow boundary conditions. We develop a new concept of w…
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…
Construction of weak solutions to compressible Navier--Stokes equations with general inflow/outflow boundary conditions via a numerical approximation
Young-Sam Kwon, Antonin Novotny
The construction of weak solutions to compressible Navier-Stokes equations via a numerical method (including a rigorous proof of the convergence) is in a short supply, and so far,…
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…
Consistency, convergence and error estimates for a mixed finite element / finite volume scheme to compressible Navier-Stokes equations with general inflow/outflow boundary data
Young-Sam Kwon, Antonin Novotny
We study convergence of a mixed finite element-finite volume scheme for the compressible Navier Stokes equations in the isentropic regime under the full range of the adiabatic coef…
On the long--time behavior of dissipative solutions to models of non-Newtonian compressible fluids
Eduard Feireisl, Young-Sam Kwon, Antonin Novotny
We identify a class maximal dissipative solutions to models of compressible viscous fluids that maximize the energy dissipation rate. Then we show that any maximal dissipative solu…