Nonlocal dynamics and complex patterns in phase-separation
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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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Lara Trussardi
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Institute of Mathematics and Scientific Computing, University of Graz
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Austria
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Luca Scarpa
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Politecnico di Milano
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Italy
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Introduction:
| | Phase-separation phenomena are experienced in numerous scenarios, such as dynamics of fluid mixtures, pattern formation, image processing, evolution of biomolecular condensates, and tumour growth dynamics. A well-established mathematical analysis of such mechanisms is based on the so-called diffuse-interface approach, and relies on classical models such as the Cahn-Hilliard and Allen-Cahn equations. In the last decades, suitable nonlocal formulations of phase-field systems have specifically allowed to describe long-range interaction effects and have received great attention in the mathematical community. The present session brings forward recent results on nonlocal phase-field models, including qualitative properties of solutions and nonlocal-to-local asymptotic convergence.
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List of abstracts and speakers |
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