253 citations · 1.4k across the 134 of their papers we have counts for
7 papers · 2 filters
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…
Stochastic Navier-Stokes-Fourier equations
Dominic Breit, Eduard Feireisl
We study the full Navier--Stokes--Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. Stochastic e…
On oscillatory solutions to the complete Euler system
Eduard Feireisl, Christian Klingenberg, Ondřej Kreml +1
The Euler system in fluid dynamics is a model of a compressible inviscid fluid incorporating the three basic physical principles: Conservation of mass, momentum, and energy. We sho…
On solvability and ill-posedness of the compressible Euler system subject to stochastic forces
Dominic Breit, Eduard Feireisl, Martina Hofmanova
We consider the (barotropic) Euler system describing the motion of a compressible inviscid fluid driven by a stochastic forcing. Adapting the method of convex integration we show t…
A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations
I. S. Ciuperca, E. Feireisl, M. Jai +1
We provide a rigorous derivation of the compressible Reynolds system as a singular limit of the compressible (barotropic) Navier-Stokes system on a thin domain. In particular, the…