29 citations · 75 across the 24 of their papers we have counts for
4 papers · 1 filter
Nonlinear stochastic heat equation driven by spatially colored noise: moments and intermittency
Le Chen, Kunwoo Kim
In this paper, we study the stochastic heat equation in the spatial domain subject to a Gaussian noise which is white in time and colored in space. The spatial corre…
A Boundedness Trichotomy for the Stochastic Heat Equation
Le Chen, Davar Khoshnevisan, Kunwoo Kim
We consider the stochastic heat equation with a multiplicative white noise forcing term under standard "intermitency conditions." The main finding of this paper is that, under mild…
On the large-scale structure of the tall peaks for stochastic heat equations with fractional Laplacian
Kunwoo Kim
We consider stochastic heat equations with fractional Laplacian on . Here, the driving noise is generalized Gaussian which is white in time but spatially homogenous a…
Intermittency and multifractality: A case study via parabolic stochastic PDEs
Davar Khoshnevisan, Kunwoo Kim, Yimin Xiao
Let denote space-time white noise, and consider the following stochastic partial differential equations: (i) , started identically at one; and (ii)…