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Papers

The fractional Allen-Cahn equation with the sextic potential

https://doi.org/10.1016/j.amc.2019.01.037

  • AuthorDongsun Lee,이승규
  • JournalApplied Mathematics and Computation (0096-3003), 351, 176 ~ 192
  • Enrollment typeSCIE
  • publication date 20190615
We extend the classical Allen?Cahn (AC) equation to the fractional Allen?Cahn equation (FAC) with triple-well potential. By replacing the spatial Laplacian and double-well potential with fractional Laplacian and triple-well potential, we observe different dynamics.