12 citations · 47 across the 18 of their papers we have counts for
6 papers · 1 filter
Penalization method for the Navier-Stokes-Fourier system
Danica Basarić, Eduard Feireisl, Mária Lukáčová-Medviďová +2
We apply the method of penalization to the Dirichlet problem for the Navier-Stokes-Fourier system governing the motion of a general viscous compressible fluid confined to a bounded…
Error estimates of the Godunov method for the multidimensional compressible Euler system
Mária Lukáčová-Medviďová, Bangwei She, Yuhuan Yuan
We derive a priori error of the Godunov method for the multidimensional Euler system of gas dynamics. To this end we apply the relative energy principle and estimate the distance b…
Convergence of first-order Finite Volume Method based on Exact Riemann Solver for the Complete Compressible Euler Equations
Mária Lukáčová-Medviďová, Yuhuan Yuan
Recently developed concept of dissipative measure-valued solution for compressible flows is a suitable tool to describe oscillations and singularities possibly developed in solutio…
Relative energy and weak-strong uniqueness of the two-phase viscoelastic phase separation model
Aaron Brunk, Maria Lukacova-Medvidova
The aim of this paper is to analyze a viscoelastic phase separation model. We derive a suitable notion of the relative energy taking into account the non-convex nature of the energ…
Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility
Aaron Brunk, Herbert Egger, Oliver Habrich +1
Based on relative energy estimates, we study the stability of solutions to the Cahn-Hilliard equation with concentration dependent mobility with respect to perturbations. As a by-p…
Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model
Aaron Brunk, Yong Lu, Maria Lukacova-Medvidova
In this paper we analyze the three-dimensional Peterlin viscoelastic model. By means of a mixed Galerkin and semigroup approach we prove the existence of a weak solutions. Further…