arXiv:2010.05849 Abstract | arXiv Analytics

arXiv:2010.05849 [math.AP]Abstract References Reviews Resources

Anisotropic Surface Tensions for Phase Transitions in Periodic Media

Rustum Choksi, Irene Fonseca, Jessica Lin, Raghavendra Venkatraman

Published 2020-10-12Version 1

A novel ``geodesic'' representation formula for an anisotropic surface tension arising from the periodic homogenization of a bistable Ginzburg-Landau energy is provided. Using this formula, we prove the regularity and ellipticity of the anisotropic surface tension.

Comments: 33 pages, comments welcome!

Categories: math.AP, math-ph, math.MG, math.MP

Keywords: phase transitions, periodic media, representation formula, anisotropic surface tension arising, periodic homogenization

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