5 citations · 13 across the 7 of their papers we have counts for
7 papers
Linear fluctuation of interfaces in Glauber-Kawasaki dynamics
Tadahisa Funaki, Claudio Landim, Sunder Sethuraman
In this article, we find a scaling limit of the space-time mass fluctuation field of Glauber + Kawasaki particle dynamics around its hydrodynamic mean curvature interface limit. He…
Stochastic PDE approach to fluctuating interfaces
Tadahisa Funaki
We propose a new type of SPDEs, singular or with regularized noises, motivated by a study of the fluctuation of the density field in a microscopic interacting particle system. They…
Schauder estimate for quasilinear discrete PDEs of parabolic type
Tadahisa Funaki, Sunder Sethuraman
We investigate quasilinear discrete PDEs of reaction-diffusion type with nonlinear diffusion term defined on an -dimensional unit torus discreti…
A coupled KPZ equation, its two types of approximations and existence of global solutions
Tadahisa Funaki, Masato Hoshino
This paper concerns the multi-component coupled Kardar-Parisi-Zhang (KPZ) equation and its two types of approximations. One approximation is obtained as a simple replacement of the…
Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation
Tadahisa Funaki, Satoshi Yokoyama
This paper studies the sharp interface limit for a mass conserving Allen-Cahn equation added an external noise and derives a stochastically perturbed mass conserving mean curvature…
KPZ equation, its renormalization and invariant measures
Tadahisa Funaki, Jeremy Quastel
The Kardar-Parisi-Zhang (KPZ) equation is a stochastic partial differential equation which is ill-posed because the nonlinearity is marginally defined with respect to the roughness…