Zobrazeno 1 - 10
of 142
pro vyhledávání: '"Funaki, Tadahisa"'
Autor:
Funaki, Tadahisa
We consider the Glauber-Kawasaki dynamics on a $d$-dimensional periodic lattice of size $N$, that is, a stochastic time evolution of particles performing random walks with interaction subject to the exclusion rule (Kawasaki part), in general, of non-
Externí odkaz:
http://arxiv.org/abs/2404.18364
For the non-gradient exclusion process, we prove the quantitative homogenization in the approximation of the diffusion matrix and the conductivity by local functions. The proof relies on the renormalization approach developed by Armstrong, Kuusi, Mou
Externí odkaz:
http://arxiv.org/abs/2404.12234
Autor:
Funaki, Tadahisa, Park, Hyunjoon
We consider the Allen-Cahn equation with nonlinear anisotropic diffusion and derive anisotropic direction-dependent curvature flow under the sharp interface limit. The anisotropic curvature flow was already studied, but its derivation is new. We prov
Externí odkaz:
http://arxiv.org/abs/2403.01732
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. It is speeded up in a diffusive space-time scaling. The Glauber part
Externí odkaz:
http://arxiv.org/abs/2210.03857
We derive a continuum mean-curvature flow as a certain hydrodynamic scaling limit of Glauber-Kawasaki dynamics with speed change. The Kawasaki part describes the movement of particles through particle interactions. It is speeded up in a diffusive spa
Externí odkaz:
http://arxiv.org/abs/2202.13286
Autor:
Funaki, Tadahisa, Sethuraman, Sunder
We investigate quasilinear discrete PDEs $\partial_t u = \Delta^N \varphi(u)+ Kf(u)$ of reaction-diffusion type with nonlinear diffusion term defined on an $n$-dimensional unit torus discretized with mesh size $\tfrac1N$ for $N\in {\mathbb N}$, where
Externí odkaz:
http://arxiv.org/abs/2112.13973
Publikováno v:
Tunisian J. Math. 4 (2022) 719-754
We consider an Allen-Cahn equation with nonlinear diffusion, motivated by the study of the scaling limit of certain interacting particle systems. We investigate its singular limit and show the generation and propagation of an interface in the limit.
Externí odkaz:
http://arxiv.org/abs/2112.13081
Autor:
Funaki, Tadahisa, Xie, Bin
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 article is to establish the global-in-time solvability for a particular
Externí odkaz:
http://arxiv.org/abs/2106.01102
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 of a particle system in random environment on one dimensional discret
Externí odkaz:
http://arxiv.org/abs/2005.03326