4 papers
Selection criteria for the compressible Euler equations: numerical study
Megala Anandan, Bahulayan Chalil Aravind, Mária Lukáčová-Medvid'ová +4
We numerically investigate selection criteria for dissipative weak solutions of the compressible Euler equations. Using the Kelvin-Helmholtz problem as a benchmark, we compare four…
On admissible solutions to the coupled Riemann problem with heat-flux discontinuity
Changsheng Yu, Tiegang Liu
We study the Riemann problem for the compressible Euler equations with a stationary coupling interface across which a discontinuity in the heat flux is prescribed. This coupling gi…
Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics
Eduard Feireisl, Mária Lukáčová-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…
Monte Carlo method and the random isentropic Euler system
Eduard Feireisl, Mária Lukáčová-Medvid'ová, Hana Mizerová +1
We show several results on convergence of the Monte Carlo method applied to consistent approximations of the isentropic Euler system of gas dynamics with uncertain initial data. Ou…