253 citations · 1.4k across the 134 of their papers we have counts for
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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…
Convergence of a finite volume method to weak solutions for the compressible Navier-Stokes-Fourier system
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We prove strong convergence of an upwind-type finite volume method to a weak solution of the Navier-Stokes-Fourier system with the Dirichlet boundary conditions. The limit solution…
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We study random compressible viscous magnetohydrodynamic flows. Combining the Monte Carlo method with a deterministic finite volume method we solve the random system numerically. Q…
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…
Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We consider the Navier-Stokes-Fourier system governing the motion of a general compressible, heat conducting, Newtonian fluid driven by random initial/boundary data. Convergence of…
Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method
Eduard Feireisl, Mária Lukáčová - Medviďová, Bangwei She +1
The goal of this paper is to study convergence and error estimates of the Monte Carlo method for the Navier-Stokes equations with random data. To discretize in space and time, the…