TY - JOUR
T1 - Singular Limit for Stochastic Reaction-Diffusion Equation and Generation of Random Interfaces
AU - Funaki, T.
PY - 1999
Y1 - 1999
N2 - Singular limit is investigated for reaction-diffusion equations with an additive noise in a bounded domain of R2. The solution converges to one of the two stable phases {+1, -1} determined from the reaction term; accordingly a phase separation curve is generated in the limit. We shall derive a randomly perturbed motion by curvature for the dynamics of the phase separation curve.
AB - Singular limit is investigated for reaction-diffusion equations with an additive noise in a bounded domain of R2. The solution converges to one of the two stable phases {+1, -1} determined from the reaction term; accordingly a phase separation curve is generated in the limit. We shall derive a randomly perturbed motion by curvature for the dynamics of the phase separation curve.
KW - Randomly perturbed motion
KW - Reaction-diffusion equations
KW - Singular limit
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U2 - 10.1007/bf02650735
DO - 10.1007/bf02650735
M3 - Article
AN - SCOPUS:0347117402
SN - 1439-8516
VL - 15
SP - 407
EP - 438
JO - Acta Mathematica Sinica, English Series
JF - Acta Mathematica Sinica, English Series
IS - 3
ER -