170 citations · 489 across the 21 of their papers we have counts for
27 papers
Steady compressible Navier-Stokes-Fourier system with general temperature dependent viscosities I: density estimates based on Bogovskii operator
Ondřej Kreml, Tomasz Piasecki, Milan Pokorný +1
The aim of this paper is to reconsider the existence theory for steady compressible Navier--Stokes--Fourier system assuming more general condition of the dependence of the viscosit…
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams
Ondřej Kreml, Václav Mácha, Šárka Nečasová +1
In this paper, we study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills…
Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction
Matteo Caggio, Ondřej Kreml, Šárka Nečasová +2
We consider a coupled system of partial and ordinary differential equations describing the interaction between an isentropic inviscid fluid and a rigid body moving freely inside th…
Shocks Make the Riemann Problem for the Full Euler System in Multiple Space Dimensions Ill-posed
Christian Klingenberg, Ondřej Kreml, Václav Mácha +1
The question of (non-)uniqueness of one-dimensional self-similar solutions to the Riemann problem for hyperbolic systems of gas dynamics in sets of multi-dimensional admissible wea…
Compressible Navier-Stokes system on a moving domain in the framework
Ondrej Kreml, Sárka Necasová, Tomasz Piasecki
We prove the local well-posedness for the barotropic compressible Navier-Stokes system on a moving domain, a motion of which is determined by a given vector field , in a m…
Weak-strong uniqueness for the compressible fluid-rigid body interaction
Ondrej Kreml, Sarka Necasova, Tomasz Piasecki
In this work we study the coupled system of partial and ordinary differential equations describing the interaction between a compressible isentropic viscous fluid and a rigid body…
Low stratification of a heat-conducting fluid in time-dependent domain
Ondřej Kreml, Václav Mácha, Šárka Nečasová +1
We study the low Mach number limit of the full Navier-Stokes-Fourier system in the case of low stratification with ill-prepared initial data for the problem stated on moving domain…
Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas
Jan Březina, Ondřej Kreml, Václav Mácha
We study the Riemann problem for the isentropic compressible Euler equations in two space dimensions with the pressure law describing the Chaplygin gas. It is well known that there…
Non-uniqueness of admissible weak solution to the Riemann problem for the full Euler system in 2D
Hind Al Baba, Christian Klingenberg, Ondrej Kreml +2
The question of well- and ill-posedness of entropy admissible solutions to the multi-dimensional systems of conservation laws has been studied recently in the case of isentropic Eu…
Dissipative measure valued solutions for general conservation laws
Piotr Gwiazda, Ondřej Kreml, Agnieszka Świerczewska-Gwiazda
In the last years measure-valued solutions started to be considered as a relevant notion of solutions if they satisfy the so-called measure-valued -- strong uniqueness principle. T…
Local existence of strong solutions and weak-strong uniqueness for the compressible Navier-Stokes system on moving domains
Ondřej Kreml, Šárka Nečasová, Tomasz Piasecki
We consider the compressible Navier-Stokes system on time-dependent domains with prescribed motion of the boundary. For both the no-slip boundary conditions as well as slip boundar…
Flow of heat conducting fluid in a time dependent domain
Ondrej Kreml, Vaclav Macha, Sarka Necasova +1
We consider a flow of heat conducting fluid inside a moving domain whose shape in time is prescribed. The flow in this case is governed by the Navier-Stokes-Fourier system consisti…
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…
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…
Dimension reduction for the full Navier-Stokes-Fourier system
Jan Březina, Ondřej Kreml, Václav Mácha
It is well known that the full Navier-Stokes-Fourier system does not possess a strong solution in three dimensions which causes problems in applications. However, when modeling the…
Weak solutions to the full Navier-Stokes-Fourier system with slip boundary conditions in time dependent domains
Ondrej Kreml, Vaclav Macha, Sarka Necasova +1
We consider the compressible Navier-Stokes-Fourier system on time-dependent domains with prescribed motion of the boundary, supplemented with slip boundary conditions for the veloc…
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…
Stability of the isentropic Riemann solutions of the full multidimensional Euler system
Eduard Feireisl, Ondřej Kreml, Alexis Vasseur
We consider the complete Euler system describing the time evolution of an inviscid non-isothermal gas. We show that the rarefaction wave solutions of the 1D Riemann problem are sta…
On the global existence for a regularized model of viscoelastic non-Newtonian fluid
Ondřej Kreml, Milan Pokorný, Pavel Šalom
We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like () regularized by a nonlinear…
On the low Mach number limit of compressible flows in exterior moving domains
Eduard Feireisl, Ondřej Kreml, Václav Mácha +1
We study the incompressible limit of solutions to the compressible barotropic Navier-Stokes system in the exterior of a bounded domain undergoing a simple translation. The problem…
Uniqueness of rarefaction waves in multidimensional compressible Euler system
Eduard Feireisl, Ondřej Kreml
We show that 1-D rarefaction wave solutions are unique in the class of bounded entropy solutions to the multidimensional compressible Euler system. Such a result may be viewed as a…
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…