253 citations · 685 across the 30 of their papers we have counts for
35 papers
Compressible Navier--Stokes system with the hard sphere pressure law in an exterior domain
Sarka Necasova, Antonin Novotny, Arnab Roy
We consider the motion of compressible Navier-Stokes fluids with the hard sphere pressure law around a rigid obstacle when the velocity and the density at infinity are non zero. Th…
Two phase flows of compressible viscous fluids
Eduard Feireisl, Antonin Novotny
We introduce a new concept of dissipative varifold solution to models of two phase compressible viscous fluids. In contrast with the existing approach based on the Young measure de…
Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids with general boundary data
Stanislav Kracmar, Young-Sam Kwon, Sarka Necasova +1
We prove global existence of weak solutions for a version of one velocity Baer-Nunziato system with dissipation describing a mixture of two non interacting viscous compressible flu…
Weak-strong uniqueness property for models of compressible viscous fluids near vacuum
Eduard Feireisl, Antonin Novotny
We extend the weak-strong uniqueness principle to general models of compressible viscous fluids near/on the vacuum. In particular, the physically relevant case of positive density…
Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids
Bumja Jin, Young-Sam Kwon, Sarka Necasova +1
Following Abbatiello et al. [ DCCDS-A (41), 2020], we introduce dissipative turbulent solutions to a simple model of a mixture of two non interacting compressible fluids {\tc filli…
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…
Generalized solutions to models of compressible viscous fluids
Anna Abbatiello, Eduard Feireisl, Antonin Novotny
We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equatio…
Dissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness
Young-Sam Kwon, Antonin Novotny, Vladyslav Satko
So far existence of dissipative weak solutions for the compressible Navier-Stokes equations (i.e. weak solutions satisfying the relative energy inequality) is known only in the cas…
Continuity equation and vacuum regions in compressible flows
Antonin Novotny, Milan Pokorny
We investigate the creation and properties of eventual vacuum regions in the weak solutions of the continuity equation, in general, and in the weak solutions of compressible Navier…
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…
Weak solutions for some compressible multicomponent fluid models
Antonin Novotny, Milan Pokorny
The principle purpose of this work is to investigate a "viscous" version of a "simple" but still realistic bi-fluid model described in [Bresch, Desjardin, Ghidaglia, Grenier, Hilla…
Existence of weak solutions for compressible Navier-Stokes equations with entropy transport
David Maltese, Martin Michalek, Piotr B. Mucha +3
We consider the compressible Navier-Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential temperature which, unlike in…
A rigorous justification of the Euler and Navier-Stokes equations with geometric effects
Peter Bella, Eduard Feireisl, Marta Lewicka +1
We derive the 1D isentropic Euler and Navier-Stokes equations describing the motion of a gas through a nozzle of variable cross section as the asymptotic limit of the 3D isentropic…
On the motion of viscous, compressible and heat-conducting liquids
Eduard Feireisl, Antonin Novotny, Yongzhong Sun
We consider a system of equations governing the motion of a viscous, compressible, and heat conducting liquid-like fluid, with a general EOS of Mie-Grueneisen type. In addition, we…
Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains
Eduard Feireisl, Radim Hošek, David Maltese +1
We derive an a priori error estimate for the numerical solution obtained by time and space discretization by the finite volume/finite element method of the barotropic Navier--Stoke…
On singular limits arising in the scale analysis of stratified fluid flows
Eduard Feireisl, Rupert Klein, Antonin Novotny +1
We study the low Mach low Freude numbers limit in the compressible Navier-Stokes equations and the transport equation for evolution of an entropy variable -- the potential temperat…
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations
Thierry Gallouet, Raphaele Herbin, David Maltese +1
We present here a general method based on the investigation of the relative energy of the system, that provides an unconditional error estimate for the approximate solution of the…
Time-periodic solutions to the full Navier--Stokes--Fourier system with radiation on the boundary
Simon Axmann, Milan Pokorny
The Navier-Stokes-Fourier system is a well established model for describing the motion of viscous compressible heat-conducting fluids. We study the existence of time-periodic weak…
Robustness of strong solutions to the compressible Navier-Stokes system
Peter Bella, Eduard Feireisl, Bum Ja Jin +1
We consider the Navier-Stokes system describing the time evolution of a compressible barotropic fluid confined to a bounded spatial domain in the 3-D physical space, supplemented w…