@article{8d60d66afa1f4333b4ec1ae68fd056ad,
title = "Fast-reaction limit for Glauber-Kawasaki dynamics with two components",
abstract = "We consider the Kawasaki dynamics of two types of particles under a killing effect on a d-dimensional square lattice. Particles move with possibly different jump rates depending on their types. The killing effect acts when particles of different types meet at the same site. We show the existence of a limit under the diffusive space-time scaling and suitably growing killing rate: segregation of distinct types of particles does occur, and the evolution of the interface between the two distinct species is governed by the two-phase Stefan problem. We apply the relative entropy method and combine it with some PDE techniques.",
keywords = "Fast reaction limit, Free boundary problem, Hydrodynamical limit, Relative entropy method, Singular limit problem",
author = "{de Masi}, A. and T. Funaki and E. Presutti and Vares, {M. E.}",
note = "Funding Information: T. Funaki is supported in part by JSPS KAKENHI, Grantin-Aid for Scientific Researches (A) 18H03672 and (S) 16H06338. E. Presutti thanks the GSSI. M. E. Vares acknowledges support of CNPq (grant 305075/2016-0) and FAPERJ (grant E-26/203.048/2016). Publisher Copyright: {\textcopyright} 2019, Instituto Nacional de Matematica Pura e Aplicada.",
year = "2019",
doi = "10.30757/ALEA.v16-34",
language = "English",
volume = "16",
pages = "957--976",
journal = "Alea",
issn = "1980-0436",
publisher = "Instituto Nacional de Matematica Pura e Aplicada",
number = "2",
}