Mathematical Insights into Phase-Field Models
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Andrea Signori
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Politecnico di Milano
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Italy
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Pierluigi Colli
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Università di Pavia
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Italy
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Takeshi Fukao
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Ryukoku University
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Japan
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Introduction:
| | Interface evolution is central to many physical, biological, and technological processes. Phase-field methods provide a powerful framework for modeling such dynamics, offering a diffuse-interface alternative to classical sharp-interface approaches. These models handle complex topological changes and multi-scale phenomena while maintaining strong links to geometric and variational structures.
This session focuses on the mathematical theory, modeling, and simulation of evolving interfaces, with an emphasis on phase-field and related methods. Topics include Cahn–Hilliard and Allen–Cahn systems, sharp-interface limits, dynamic boundary conditions, control problems, well-posedness, and asymptotic behavior. Applications span materials science, fluid dynamics, biology, biomedicine, and image processing. We welcome analytical, numerical, and interdisciplinary contributions that advance our understanding of interface-driven phenomena.
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