Free boundary problem from two component system on $\bold Z$

J. Math. Sci. Univ. Tokyo
Vol. 12 (2005), No. 2, Page 141--163.

Komoriya, Keishi
Free boundary problem from two component system on $\bold Z$
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Abstract:
We consider a system of two types of particles called A-particles and B-particles moving on one-dimensional lattice according to simple excluded random walks. A- and B-particles are distinguished by their jump rates. We derive the Stefan free boundary problem in a hydrodynamic scaling limit for a certain class of initial conditions. An extension to $n$-component system ($n\ge3$) is also discussed.

Mathematics Subject Classification (1991): Primary 60K35; Secondary 82A05.
Mathematical Reviews Number: MR2150734