4 citations · 5 across the 8 of their papers we have counts for
6 papers · 1 filter
Generalized solutions to models of inviscid fluids
Dominic Breit, Eduard Feireisl, Martina Hofmanova
We discuss several approaches to generalized solutions of problems describing the motion of inviscid fluids. We propose a new concept of dissipative solution to the compressible Eu…
Space-time approximation of stochastic -Laplace systems
Dominic Breit, Martina Hofmanova, Sebastien Loisel
We consider systems of stochastic evolutionary equations of the -Laplace type. We establish convergence rates for a finite-element based space-time approximation, where the erro…
Dissipative solutions and semiflow selection for the complete Euler system
Dominic Breit, Eduard Feireisl, Martina Hofmanova
To circumvent the ill-posedness issues present in various models of continuum fluid mechanics, we present a dynamical systems approach aiming at selection of physically relevant so…
Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs
Nils Dabrock, Martina Hofmanová, Matthias Röger
We are concerned with a stochastic mean curvature flow of graphs over a periodic domain of any space dimension. We establish existence of martingale solutions which are strong in t…
On a rough perturbation of the Navier-Stokes system and its vorticity formulation
Martina Hofmanova, James-Michael Leahy, Torstein Nilssen
We introduce a rough perturbation of the Navier-Stokes system and justify its physical relevance from balance of momentum and conservation of circulation in the inviscid limit. We…
Solution semiflow to the isentropic Euler system
Dominic Breit, Eduard Feireisl, Martina Hofmanova
It is nowadays well understood that the multidimensional isentropic Euler system is desperately ill--posed. Even certain smooth initial data give rise to infinitely many solutions…