Nonlocal dynamics and complex patterns in phase-separation
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Organizer(s): |
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Affiliation:
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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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| Confirmed Speakers |
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Name: | Affiliation: | Country: |
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Jose Carrillo | University of Oxford | England |
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Pierluigi Colli | University of Pavia | Italy |
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Charles Elbar | Sorbonne Université | France |
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Ciprian Gal | Florida International University | USA |
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Andrea Giorgini | Politecnico di Milano | Italy |
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Maurizio Grasselli | Politecnico di Milano | Italy |
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Patrik Knopf | University of Regensburg | Germany |
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Shunsuke Kurima | Tokyo University of Science | Japan |
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Elisabetta Rocca | University of Pavia | Italy |
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Giulio Schimperna | University of Pavia | Italy |
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Jakub Skrzeczkowski | University of Oxford | England |
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Margherita Zanella | Politecnico di Milano | Italy |
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