170 citations · 445 across the 15 of their papers we have counts for
15 papers
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…
On the long time behaviour of solutions to the Navier-Stokes-Fourier system on unbounded domains
Elisabetta Chiodaroli, Eduard Feireisl
We consider the Navier-Stokes-Fourier system on an unbounded domain in the Euclidean space , supplemented by the far field conditions for the phase variables, specifically: $ρ…
Glimm's method and density of wild data for the Euler system of gas dynamics
Elisabetta Chiodaroli, Eduard Feireisl
We adapt Glimm's approximation method to the framework of convex integration to show density of wild data for the (complete) Euler system of gas dynamics. The desired infinite fami…
On the density of "wild" initial data for the barotropic Euler system
Elisabetta Chiodaroli, Eduard Feireisl
We show that the set of ``wild data'', meaning the initial data for which the barotropic Euler system admits infinitely many admissible entropy solutions, is dense in the top…
Ill posedness for the full Euler system driven by multiplicative white noise
Elisabetta Chiodaroli, Eduard Feireisl, Franco Flandoli
We consider the Euler system describing the motion of a compressible fluid driven by a multiplicative white noise. We identify a large class of initial data for which the problem i…
Non-uniqueness of admissible weak solutions to the compressible Euler equations with smooth initial data
Elisabetta Chiodaroli, Ondřej Kreml, Václav Mácha +1
We consider the isentropic Euler equations of gas dynamics in the whole two-dimensional space and we prove the existence of a initial datum which admits infinitely many…
On contact discontinuities in multi-dimensional isentropic Euler equations
Jan Březina, Elisabetta Chiodaroli, Ondřej Kreml
In this short note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We p…
Non-uniqueness of admissible weak solutions to the Riemann problem for the isentropic Euler equations
Elisabetta Chiodaroli, Ondřej Kreml
We study the Riemann problem for the multidimensional compressible isentropic Euler equations. Using the framework developed by Chiodaroli, De Lellis, Kreml and based on the techni…
Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equations
Elisabetta Chiodaroli, Martin Michálek
We consider the initial value problem for the inviscid Primitive and Boussinesq equations in three spatial dimensions. We recast both systems as an abstract Euler-type system and a…
An overview of some recent results on the Euler system of isentropic gas dynamics
Elisabetta Chiodaroli, Ondrej Kreml
In this overview we discuss some recent results of non--uniqueness for the isentropic Euler equations of gas dynamics with particular attention to the role of some admissibility cr…
On the energy dissipation rate of solutions to the compressible isentropic Euler system
Elisabetta Chiodaroli, Ondřej Kreml
In this paper we extend and complement some recent results by Chiodaroli, De Lellis and Kreml on the well-posedness issue for weak solutions of the compressible isentropic Euler sy…
On the weak solutions to the equations of a compressible heat conducting gas
Elisabetta Chiodaroli, Eduard Feireisl, Ondrej Kreml
We consider the weak solutions to the Euler-Fourier system describing the motion of a compressible heat conducting gas. Employing the method of convex integration, we show that the…
Global ill-posedness of the isentropic system of gas dynamics
Elisabetta Chiodaroli, Camillo De Lellis, Ondrej Kreml
We consider the isentropic compressible Euler system in 2 space dimensions with pressure law and we show the existence of classical Riemann data, i.e. pure jump discon…
A counterexample to well-posedness of entropy solutions to the compressible Euler system
Elisabetta Chiodaroli
We deal with entropy solutions to the Cauchy problem for the isentropic compressible Euler equations in the space-periodic case. In more than one space dimension, the methods devel…
A Dissipative Model for Hydrogen Storage: Existence and Regularity Results
Elisabetta Chiodaroli
We prove global existence of a solution to an initial and boundary value problem for a highly nonlinear PDE system. The problem arises from a thermomechanical dissipative model des…