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Evolution of interfaces in two-phase problems with ninety degree contact angle
Rauchecker, Maximilian (2019) Evolution of interfaces in two-phase problems with ninety degree contact angle. PhD, Universität Regensburg.Date of publication of this fulltext: 25 Nov 2019 09:31
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.41034
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 ...
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 discuss qualitative behaviour.
We then introduce a thermodynamically consistent model for the Two-phase Navier-Stokes/Mullins-Sekerka equations with gravity and prove the presence of Rayleigh-Taylor instability.
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.
Involved Institutions
Details
| Item type | Thesis of the University of Regensburg (PhD) |
| Date | 25 November 2019 |
| Referee | Prof. Dr. Harald Garcke and Dr. Mathias Wilke and Prof. Dr. Gieri Simonett |
| Date of exam | 8 October 2019 |
| Institutions | Mathematics > Prof. Dr. Harald Garcke |
| Keywords | interfaces; free boundaries; contact angle; maximal regularity; Mullins-Sekerka; Navier-Stokes; Rayleigh-Taylor instability; |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Published |
| Refereed | Yes, this version has been refereed |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-410348 |
| Item ID | 41034 |
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