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

研究成果: Article

18 引用 (Scopus)

抄録

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.

元の言語English
ページ(範囲)407-438
ページ数32
ジャーナルActa Mathematica Sinica, English Series
15
発行部数3
出版物ステータスPublished - 1999
外部発表Yes

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Stochastic Reaction-diffusion Equations
Singular Limit
Phase Separation
Phase separation
Curve
Additive noise
Additive Noise
Reaction-diffusion Equations
Bounded Domain
Curvature
Converge
Motion
Term

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

これを引用

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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.

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KW - Reaction-diffusion equations

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