## Abstract

Consider two disjoint circles moving by mean curvature plus a forcing term which makes them touch with zero velocity. It is known that the generalized solution in the viscosity sense ceases to be a curve after the touching (the so-called fattening phenomenon). We show that after adding a small stochastic forcing epsilondW, in the limit epsilon --> 0 the measure selects two evolving curves, the upper and lower barrier in the sense of De Giorgi. Further we show partial results for nonzero epsilon.

Original language | English |
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Pages (from-to) | 405-425 |

Number of pages | 21 |

Journal | Calculus of Variations and Partial Differential Equations |

Volume | 13 |

Issue number | 4 |

Publication status | Published - 2001 |