| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1895276 | Physica D: Nonlinear Phenomena | 2016 | 8 Pages |
Abstract
The dynamics of a curved front in a plane between two stable phases with equal potentials is modeled via two-dimensional fractional in time partial differential equation. A closed equation governing a slow motion of a small-curvature front is derived and applied for two typical examples of the potential function. Approximate axisymmetric and non-axisymmetric solutions are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M. Abu Hamed, A.A. Nepomnyashchy,