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Evolution of interfaces in two-phase problems with ninety degree contact angle

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Rauchecker, Maximilian
Date of publication of this fulltext: 25 Nov 2019 09:31

Abstract (English)

In this thesis we are concerned with the analysis of contact angle problems for the free boundary in two-phase flows. In particular, we consider the Mullins-Sekerka and the Two-phase Navier-Stokes/Mullins-Sekerka problem with a ninety degree angle condition at the points where the free interface meets the boundary. We prove the existence and uniqueness of local-in-time strong solutions and ...


Translation of the abstract (German)

Diese Arbeit behandelt die Analysis von Kontaktwinkelproblemen für die freie Grenzschicht in Zwei-Phasen-Strömungen. Insbesondere betrachten wir das Problem von Mullins und Sekerka und das Zwei-Phasen-Navier-Stokes/Mullins-Sekerka-System mit einem Kontaktwinkel von neunzig Grad. Ferner betrachten wir ein solches Modell mit Gravitationseffekten und zeigen Rayleigh-Taylor-Instabilität.

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