10 citations · 35 across the 6 of their papers we have counts for
15 papers
Non-unique ergodicity for deterministic and stochastic 3D Navier--Stokes and Euler equations
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu
We establish the existence of infinitely many stationary solutions, as well as ergodic stationary solutions, to the three dimensional Navier--Stokes and Euler equations in both det…
An averaged space-time discretization of the stochastic -Laplace system
Lars Diening, Martina Hofmanová, Jörn Wichmann
We study the stochastic -Laplace system in a bounded domain. We propose two new space-time discretizations based on the approximation of time-averaged values. We establish linea…
Weak solutions for singular multiplicative SDEs via regularization by noise
Florian Bechtold, Martina Hofmanová
We study multiplicative SDEs perturbed by an additive fractional Brownian motion on another probability space. Provided the Hurst parameter is chosen in a specified regime, we esta…
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…
Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier--Stokes equations: existence and non-uniqueness
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu
We are concerned with the three dimensional incompressible Navier--Stokes equations driven by an additive stochastic forcing of trace class. First, for every divergence free initia…
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…