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Analysis of free boundary problems in continuum mechanics (AnFBP)5 ECTS (englische Bezeichnung: Analysis of free boundary problems in continuum mechanics)
Modulverantwortliche/r: Günther Grün Lehrende:
Günther Grün
Startsemester: |
WS 2019/2020 | Dauer: |
1 Semester | Turnus: |
unregelmäßig |
Präsenzzeit: |
38 Std. | Eigenstudium: |
112 Std. | Sprache: |
Englisch |
Lehrveranstaltungen:
Empfohlene Voraussetzungen:
Recommended: Basic knowledge of analysis of partial differential equations, corresponding to the syllabus of “Modeling and applied analysis in continuum mechanics” or that one of other pde-lectures.
Inhalt:
- Derivation of time dependent free boundary problems in continuum mechanics,
Basic results on existence and qualitative behaviour,
Optimal estimates on the propagation of free boundaries,
Other approaches, e.g. relaxation by phase field models.
Lernziele und Kompetenzen:
Students
formulate free boundary problems in hydrodynamics and in porous media flow,
explain analytical concepts for existence and nonnegativity results for degenerate parabolic equations as well as techniques for optimal estimates on spreading rates,
validate different modeling approaches in a critical way.
Literatur:
L.C. Evans: Partial Differential Equations, AMS,
Original journal articles.
Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan: Das Modul ist im Kontext der folgenden Studienfächer/Vertiefungsrichtungen verwendbar:
- Computational and Applied Mathematics (Master of Science)
(Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Specialisation: Modeling and applied analysis (MApA) and numerical analysis and simulation (NASi) | Analysis of free-boundary problems in continuum mechanics)
- Computational and Applied Mathematics (Master of Science)
(Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Specialisation: Modeling and applied analysis (MApA) and optimization (Opti) | Analysis of free-boundary problems in continuum mechanics)
- Computational and Applied Mathematics (Master of Science)
(Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Non-Specialisation modules | Analysis of free-boundary problems in continuum mechanics)
Studien-/Prüfungsleistungen:
Analysis of free-boundary problems in continuum mechanics (Prüfungsnummer: 59971)
- Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 15, benotet, 5 ECTS
- Anteil an der Berechnung der Modulnote: 100.0 %
- Erstablegung: WS 2019/2020, 1. Wdh.: WS 2019/2020
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