5 citations · 11 across the 6 of their papers we have counts for
6 papers
Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise
Martina Hofmanová, Xiaoyutao Luo, Rongchan Zhu +1
We consider a family of singular surface quasi-geostrophic equations on $[0,\infty)…
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…
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…
Quasilinear parabolic stochastic partial differential equations: existence, uniqueness
Martina Hofmanova, Tusheng Zhang
In this paper, we provide a direct approach to the existence and uniqueness of strong (in the probabilistic sense) and weak (in the PDE sense) solutions to quasilinear stochastic p…
Degenerate parabolic SPDEs
Martina Hofmanova
We study the Cauchy problem for a scalar semilinear degenerate parabolic partial differential equation with stochastic forcing. In particular, we are concerned with the well-posedn…
Strong solutions to semilinear SPDEs
Martina Hofmanova
We study the Cauchy problem for a semilinear stochastic partial differential equation driven by a finite-dimensional Wiener process. In particular, under the hypothesis that all th…