21 citations · 25 across the 9 of their papers we have counts for
4 papers · 1 filter
Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling
Arnaud Debussche, Martina Hofmanová
We study randomly advected incompressible Navier-Stokes equations, where the advecting field is a mean-zero, divergence-free, space-time stationary velocity field with smooth order…
Non-uniqueness of mild solutions to supercritical heat equations
Irfan Glogić, Martina Hofmanová, Theresa Lange +1
We consider the focusing power nonlinearity heat equation \begin{equation}\label{Eq:Heat_abstract}\tag{NLH} \partial_t u -Δu = |u|^{p-1}u, \quad p>1, \end{equation} in dimensions $…
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…