90 citations · 178 across the 11 of their papers we have counts for
8 papers · 1 filter
Global existence and non-uniqueness for 3D Navier--Stokes equations with space-time white noise
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu
We establish global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier--Stokes system driven by space-time white noise. In t…
Stationary solutions in thermodynamics of stochastically forced fluids
Dominic Breit, Eduard Feireisl, Martina Hofmanová
We study the full Navier--Stokes--Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. The system i…
Ergodic theory for energetically open compressible fluid flows
Francesco Fanelli, Eduard Feireisl, Martina Hofmanová
The ergodic hypothesis is examined for energetically open fluid systems represented by the barotropic Navier--Stokes equations with general inflow/outflow boundary conditions. We s…
On convergence of approximate solutions to the compressible Euler system
Eduard Feireisl, Martina Hofmanová
We consider a sequence of approximate solutions to the compressible Euler system admitting uniform energy bounds and/or satisfying the relevant field equations modulo an error vani…
An energy method for rough partial differential equations
Antoine Hocquet, Martina Hofmanová
We present a well-posedness and stability result for a class of nondegenerate linear parabolic equations driven by rough paths. More precisely, we introduce a notion of weak soluti…
A priori estimates for rough PDEs with application to rough conservation laws
Aurélien Deya, Massimiliano Gubinelli, Martina Hofmanová +1
We introduce a general weak formulation for PDEs driven by rough paths, as well as a new strategy to prove well-posedness. Our procedure is based on a combination of fundamental a…
Stochastic Navier-Stokes equations for compressible fluids
Dominic Breit, Martina Hofmanová
We study the Navier-Stokes equations governing the motion of isentropic compressible fluid in three dimensions driven by a multiplicative stochastic forcing. In particular, we cons…
Degenerate parabolic stochastic partial differential equations: Quasilinear case
Arnaud Debussche, Martina Hofmanová, Julien Vovelle
In this paper, we study the Cauchy problem for a quasilinear degenerate parabolic stochastic partial differential equation driven by a cylindrical Wiener process. In particular, we…