JournalsifbVol. 3, No. 3pp. 265–290

Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments

  • Markos A. Katsoulakis

    University of Massachusetts, Amherst, USA
  • Alvin T. Kho

    University of Massachusetts, Amherst, USA
Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments cover
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Abstract

We study the effects of random fluctuations included in microscopic models for phase transitions on macroscopic interface flows. We first derive asymptotically a stochastic mean curvature evolution law from the stochastic Ginzburg-Landau model and develop a corresponding level set formulation. Secondly, we demonstrate numerically, using stochastic Ginzburg-Landau and Ising algorithms, that microscopic random perturbations resolve geometric and numerical instabilities in the corresponding deterministic flow.

Cite this article

Markos A. Katsoulakis, Alvin T. Kho, Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments. Interfaces Free Bound. 3 (2001), no. 3, pp. 265–290

DOI 10.4171/IFB/41