21 citations · 34 across the 4 of their papers we have counts for
4 papers
Anomalous and total dissipation due to advection by solutions of randomly forced Navier-Stokes equations
Martina Hofmanová, Umberto Pappalettera, Rongchan Zhu +1
We propose a novel approach to induce anomalous dissipation through advection driven by turbulent fluid flows. Specifically, we establish the existence of a velocity field sati…
Kolmogorov law for the forced 3D Navier-Stokes equations
Martina Hofmanová, Umberto Pappalettera, Rongchan Zhu +1
We identify a sufficient condition under which solutions to the 3D forced Navier--Stokes equations satisfy an -in-time version of the Kolmogorov 4/5 law for the behavior of th…
Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise
Umberto Pappalettera
We show global existence and non-uniqueness of probabilistically strong, analytically weak solutions of the three-dimensional Navier-Stokes equations perturbed by Stratonovich tran…
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…