29 citations · 77 across the 22 of their papers we have counts for
5 papers · 2 filters
Analysis of a Stratified Kraichnan Flow
Jingyu Huang, Davar Khoshnevisan
We consider the stochastic convection-diffusion equation \[ \partial_t u(t\,,{\bf x}) =νΔu(t\,,{\bf x}) + V(t\,,x_1)\partial_{x_2}u(t\,,{\bf x}), \] for and ${\bf x}=(x_1\,,x…
Chaos expansion of 2D parabolic Anderson model
Yu Gu, Jingyu Huang
We prove a chaos expansion for the 2D parabolic Anderson Model in small time, with the expansion coefficients expressed in terms of the annealed density function of the polymer in…
On the multifractal local behavior of parabolic stochastic PDEs
Jingyu Huang, Davar Khoshnevisan
Consider the stochastic heat equation on subject to , where is a Lipschitz (local…
Spatial asymptotic of the stochastic heat equation with compactly supported initial data
Jingyu Huang, Khoa Lê
We investigate the growth of the tallest peaks of random field solutions to the parabolic Anderson models over concentric balls as the radii approach infinity. The noise is white i…
Dense blowup for parabolic SPDEs
Le Chen, Jingyu Huang, D. Khoshnevisan +1
The main result of this paper is that there are examples of stochastic partial differential equations [hereforth, SPDEs] of the type $$ \partial_t u=\frac12Δu +σ(u)η\qquad\text{on…