12 citations · 47 across the 18 of their papers we have counts for
6 papers · 1 filter
Maximal dissipation and well-posedness of the Euler system of gas dynamics
Eduard Feireisl, Ansgar Jüngel, Mária Lukáčová-Medvid'ová
We show that any dissipative (measure-valued) solution of the compressible Euler system that complies with Dafermos' criterion of maximal dissipation is necessarily an admissible w…
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…
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…
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…
Global existence of weak solutions to viscoelastic phase separation: Part II Degenerate Case
Aaron Brunk, Maria Lukacova-Medvidova
The aim of this paper is to prove global in time existence of weak solutions for a viscoelastic phase separation. We consider the case with singular potentials and degenerate mobil…
Global existence of weak solutions to viscoelastic phase separation: Part I Regular Case
Aaron Brunk, Maria Lukacova-Medvidova
We prove the existence of weak solutions to a viscoelastic phase separation problem in two space dimensions. The mathematical model consists of a Cahn-Hilliard-type equation for tw…