10 citations · 31 across the 26 of their papers we have counts for
4 papers · 1 filter
Global well-posedness for generalized parabolic Anderson model on the whole plane
Hao Shen, Rongchan Zhu, Xiangchan Zhu
For every \(0<κ<\sqrt{5}-2\), we prove global existence for the two-dimensional generalized parabolic Anderson model on the whole plane with nonlinearity $F\in C_b^2(…
Global well-posedness for 2D generalized Parabolic Anderson Model via paracontrolled calculus
Hao Shen, Rongchan Zhu, Xiangchan Zhu
This article revisits the problem of global well-posedness for the generalized parabolic Anderson model on within the framework of paracontrolled…
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…