10 citations · 25 across the 14 of their papers we have counts for
19 papers
Dynamical classical-field limit of Bosonic Gibbs states: Renormalized Hartree NLS correlations in 2D and 3D
Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu
In this paper we derive the time-dependent correlation functions of the renormalized Hartree NLS equation on the torus , , from the corresponding bosonic many-b…
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(…
Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions
Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu
We derive the classical Gibbs measure on associated with the fractional Bessel interaction potential from a renormalized gra…
Theory from many-body quantum Gibbs states
Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu
We derive the measure on the torus as a rigorous limit of the quantum Gibbs state of an interacting Bose gas. To be precise, starting from many-body quantum mechanics, wher…
Singular kinetic equations and applications
Zimo Hao, Xicheng Zhang, Rongchan Zhu +1
In this paper we study singular kinetic equations on by the paracontrolled distribution method introduced in \cite{GIP15}. We first develop paracontrolled calculu…
On ill- and well-posedness of dissipative martingale solutions to stochastic 3D Euler equations
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu
We are concerned with the question of well-posedness of stochastic three dimensional incompressible Euler equations. In particular, we introduce a novel class of dissipative soluti…