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Regularity and separation from potential barriers for a non-local phase-field system |
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| Authors: | Stig-Olof Londen |
| Institution: | a Aalto University School of Science and Technology, PB 1000, 02015 TKK, Finland b Institute of Mathematics AV ?R, ?itná 25, 115 67 Praha 1, Czech Republic |
| Abstract: | We show that solutions of a two-phase model involving a non-local interactive term become more regular immediately after the moment they separate from the pure phases. This result allows us to prove stronger convergence to equilibria. A new proof of the separation property is also given. |
| Keywords: | Non-local phase-field systems Regularity of solutions Separation property Convergence to equilibria |
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