59 citations · 193 across the 23 of their papers we have counts for
7 papers · 1 filter
A class of supercritical/critical singular stochastic PDEs: existence, non-uniqueness, non-Gaussianity, non-unique ergodicity
Martina Hofmanova, Rongchan Zhu, Xiangchan Zhu
We study the surface quasi-geostrophic equation with an irregular spatial perturbation on $…
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…
One-dimensional reflected rough differential equations
Aurelien Deya, Massimiliano Gubinelli, Martina Hofmanova +1
We prove existence and uniqueness of the solution of a one-dimensional rough differential equation driven by a step-2 rough path and reflected at zero. In order to deal with the la…