A non-local problem for the Fokker-Planck equation related to the Becker-D\"{o}ring model

@article{Conlon2017ANP,
  title={A non-local problem for the Fokker-Planck equation related to the Becker-D\"\{o\}ring model},
  author={J. Conlon and A. Schlichting},
  journal={arXiv: Analysis of PDEs},
  year={2017},
  pages={1821-1889}
}
  • J. Conlon, A. Schlichting
  • Published 2017
  • Mathematics, Physics
  • arXiv: Analysis of PDEs
  • This paper concerns a Fokker-Planck equation on the positive real line modeling nucleation and growth of clusters. The main feature of the equation is the dependence of the driving vector field and boundary condition on a non-local order parameter related to the excess mass of the system. The first main result concerns the well-posedness and regularity of the Cauchy problem. The well-posedness is based on a fixed point argument, and the regularity on Schauder estimates. The first a priori… CONTINUE READING
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