253 citations · 1.4k across the 134 of their papers we have counts for
160 papers
On "discrete" solutions of the Euler system of gas dynamics
Anna Abbatiello, Eduard Feireisl
The method of Convex Integration has revealed a number of rather disturbing facts concerning well-posedness of the Euler system of gas dynamics. In particular, there is a dense set…
On the impact of clusters of rigid balls on the motion of a viscous fluid
Marco Bravin, Eduard Feireisl, Arnab Roy +1
We develop a new approach to the problem of the motion of a large number of rigid bodies immersed in a viscous fluid. The leading idea is the concept of cluster - a collection of i…
A continuous data assimilation method for a variant of Oberbeck-Boussinesq system with randomly perturbed data
Eduard Feireisl, Madalina Petcu
We show convergence of a continuous data assimilation method for the Oberbeck-Boussinesq system in the dimension . Our working hypothesis is boundedness of the reference sol…
Maximal entropy production principle and the Euler system of gas dynamics
Elisabetta Chiodaroli, Eduard Feireisl, Ondřej Kreml +1
Convex integration has revealed that the Euler system of gas dynamics is ill-posed in the class of weak solutions even if the entropy inequality is imposed as an additional constra…
Temperature-driven turbulence in compressible fluid flows
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We study the long-time behaviour of the temperature-driven compressible flows. We show that numerical solutions of a structure-preserving finite volume method generate a discrete a…
The Euler system of gas dynamics
Eduard Feireisl
This is a survey highlighting several recent results concerning well/ill posedness of the Euler system of gas dynamics. Solutions of the system are identified as limits of consiste…