The supercooled Stefan problem

Medientyp: E-Book; Video
Titel: The supercooled Stefan problem
Beteiligte: Shkolnikov, Mykhaylo [Verfasser:in]; Recanzone, Luca (Filmmaker) [Sonstige Person, Familie und Körperschaft]; Basor, Estelle (Organisation) [Sonstige Person, Familie und Körperschaft]; Bufetov, Alexander (Organisation) [Sonstige Person, Familie und Körperschaft]; Cafasso, Mattia (Organisation) [Sonstige Person, Familie und Körperschaft]; Grava, Tamara (Organisation) [Sonstige Person, Familie und Körperschaft]; McLaughlin, Ken (Organisation) [Sonstige Person, Familie und Körperschaft]
Erschienen: [Erscheinungsort nicht ermittelbar]: Centre International de Rencontres Mathématiques (CIRM), 2019
Erschienen in: Jean-Morlet Chair (2104) - Integrability and Randomness in Mathematical Physics and Geometry Conference ; (Jan. 2019)
Umfang: 1 Online-Ressource (1737 MB, 00:56:24:14)
Sprache: Englisch
DOI: 10.5446/57591
Identifikator:

Entstehung:
Anmerkungen: Audiovisuelles Material
Beschreibung: We will consider the supercooled Stefan problem, which captures the freezing of a supercooled liquid, in one space dimension. A probabilistic reformulation of the problem allows to define global solutions, even in the presence of blow-ups of the freezing rate. We will provide a complete description of such solutions, by relating the temperature distribution in the liquid to the regularity of the ice growth process. The latter is shown to transition between (i) continuous differentiability, (ii) Holder continuity, and (iii) discontinuity. In particular, in the second regime we rediscover the square root behavior of the growth process pointed out by Stefan in his seminal paper [Ste89] from 1889 for the ordinary Stefan problem. In our second main theorem, we will establish the uniqueness of the global solutions, a first result of this kind in the context of growth processes with singular self-excitation when blow-ups are present. Based on joint work with Francois Delarue and Sergey Nadtochiy
Zugangsstatus: Freier Zugang
Rechte-/Nutzungshinweise: Namensnennung - Nicht kommerziell (CC BY-NC)

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