Phase-field models and their singular limits
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Andrea Poiatti
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University of Vienna
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Austria
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Helmut Abels
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University of Regensburg
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Germany
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Harald Garcke
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University of Regensburg
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Germany
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Introduction:
| | Phase-field models are a powerful approach to describe a variety of phenomena, from phase separation to multi-phase flows, from cell membranes evolution to tumor growth. These models allow to capture the phase evolution by means of a diffuse interface approximation, leading to highly nonlinear partial differential equations. On the other hand, free boundary problems are also well established to describe the same phenomena, and the phase-field models can be seen as their diffuse interface approximations. These connections through sharp interface limits have been attracting more and more researchers, and an impressive amount of new results has recently been obtained. Also, many other singular limits connected to phase field modeling have been studied in the last years, ranging from incompressible limits (like in tumor growth dynamics) to nonlocal-to-local limits, connecting nonlocal models (accounting for long-range interaction effects) with their corresponding local counterparts.
In this session, we aim at bringing together researchers active in the study of phase-field models and their singular limits, in order to tackle the most challenging and updated advances of the theory, and possibly propose new directions for further investigation.
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