5 citations · 5 across the 4 of their papers we have counts for
7 papers · 1 filter
Constant-speed interface flow from unbalanced Glauber-Kawasaki dynamics
Tadahisa Funaki, Patrick van Meurs, Sunder Sethuraman +1
We derive the hydrodynamic limit of Glauber-Kawasaki dynamics. The Kawasaki part is simple and describes independent movement of the particles with hard core exclusive interactions…
Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs
Tadahisa Funaki, Bin Xie
We consider singular quasilinear stochastic partial differential equations (SPDEs) studied in \cite{FHSX}, which are defined in paracontrolled sense. The main aim of the present ar…
Asymptotics of PDE in random environment by paracontrolled calculus
Tadahisa Funaki, Masato Hoshino, Sunder Sethuraman +1
We apply the paracontrolled calculus to study the asymptotic behavior of a certain quasilinear PDE with smeared mild noise, which originally appears as the space-time scaling limit…
Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes
Cedric Bernardin, Tadahisa Funaki, Sunder Sethuraman
We consider the fluctuation fields of multi-species weakly-asymmetric zero-range interacting particle systems in one dimension, where the mass density of each species is conserved.…
Fast-reaction limit for Glauber-Kawasaki dynamics with two components
Anna De Masi, Tadahisa Funaki, Errico Presutti +1
We consider the Kawasaki dynamics of two types of particles under a killing effect on a -dimensional square lattice. Particles move with possibly different jump rates depending…
Motion by mean curvature from Glauber-Kawasaki dynamics
Tadahisa Funaki, Kenkichi Tsunoda
We study the hydrodynamic scaling limit for the Glauber-Kawasaki dynamics. It is known that, if the Kawasaki part is speeded up in a diffusive space-time scaling, one can derive th…