20 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…
Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics
Eduard Feireisl, Mária LukáÄová-Medvid'ová, Changsheng Yu
We show that the measure-valued solutions of the Euler system of gas dynamics generated by oscillatory sequences of consistent approximations violate the principle of maximal entro…
On the long time behaviour of a system of several rigid bodies immersed in a viscous fluid
Marco Bravin, Eduard Feireisl, Arnab Roy +1
We consider several rigid bodies immersed in a viscous Newtonian fluid contained in a bounded domain in . We introduce a new concept of dissipative weak solution of the proble…
Maximal entropy production principle and the Euler system of gas dynamics
Elisabetta Chiodaroli, Eduard Feireisl, OndÅej 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…