Singular Limit for Stochastic Reaction-Diffusion Equation and Generation of Random Interfaces

T. Funaki

doi:10.1007/bf02650735

Singular Limit for Stochastic Reaction-Diffusion Equation and Generation of Random Interfaces

T. Funaki^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	407-438
Number of pages	32
Journal	Acta Mathematica Sinica, English Series
Volume	15
Issue number	3
DOIs	https://doi.org/10.1007/bf02650735
Publication status	Published - 1999
Externally published	Yes

Keywords

Randomly perturbed motion
Reaction-diffusion equations
Singular limit

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1007/bf02650735

Cite this

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abstract = "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.",

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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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Singular Limit for Stochastic Reaction-Diffusion Equation and Generation of Random Interfaces

Abstract

Keywords

ASJC Scopus subject areas

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