253 citations · 685 across the 30 of their papers we have counts for
5 papers · 1 filter
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…