37 citations · 216 across the 55 of their papers we have counts for
6 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…
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…
Determinstic and stochastic 2d Navier-Stokes equations with anisotropic viscosity
Siyu Liang, Ping Zhang, Rongchan Zhu
In this paper, we investigate both deterministic and stochastic 2D Navier Stokes equations with anisotropic viscosity. For the deterministic case, we prove the global well-posednes…