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

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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 12 1

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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