Uniqueness and existence of spirals moving by forced mean curvature motion

@inproceedings{Forcadel2012UniquenessAE,
  title={Uniqueness and existence of spirals moving by forced mean curvature motion},
  author={N. Forcadel and C. Imbert and R'egis Monneau},
  year={2012}
}
In this paper, we study the motion of spirals by mean curvature type motion in the (two dimensional) plane. Our motivation comes from dislocation dynamics; in this context, spirals appear when a screw dislocation line reaches the surface of a crystal. The first main result of this paper is a comparison principle for the corresponding parabolic quasi-linear equation. As far as motion of spirals are concerned, the novelty and originality of our setting and results come from the fact that, first… CONTINUE READING

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