21 citations · 25 across the 9 of their papers we have counts for
4 papers · 1 filter
Non-uniqueness of Leray-Hopf solutions for stochastic forced Navier-Stokes equations
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu
We consider stochastic forced Navier--Stokes equations on starting from zero initial condition. The noise is linear multiplicative and the equations are perturbed…
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)…
Rough analysis of two scale systems
Arnaud Debussche, Martina Hofmanová
We address a slow-fast system of coupled three dimensional Navier--Stokes equations where the fast component is perturbed by an additive Brownian noise. By means of the rough path…
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise
Martina Hofmanová, Theresa Lange, Umberto Pappalettera
We construct Hölder continuous, global-in-time probabilistically strong solutions to 3D Euler equations perturbed by Stratonovich transport noise. Kinetic energy of the solutions c…