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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…
Markov selection for the stochastic compressible Navier--Stokes system
Dominic Breit, Eduard Feireisl, Martina Hofmanova
We analyze the Markov property of solutions to the compressible Navier--Stokes system perturbed by a general multiplicative stochastic forcing. We show the existence of an almost s…
Global solutions to elliptic and parabolic models in Euclidean space
Massimiliano Gubinelli, Martina Hofmanová
We prove existence of global solutions to singular SPDEs on with cubic nonlinearities and additive white noise perturbation, both in the elliptic setting in dimensio…
Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces
Dominic Breit, Eduard Feireisl, Martina Hofmanova +1
We study the long-time behavior of solutions to a stochastically driven Navier-Stokes system describing the motion of a compressible viscous fluid driven by a temporal multiplicati…