Analysis of free boundary problems in continuum mechanics (AnFBP)5 ECTS
(englische Bezeichnung: Analysis of free boundary problems in continuum mechanics)
(Prüfungsordnungsmodul: Analysis of free-boundary problems in continuum mechanics)

Lectures:

• • Analysis of Free-Boundary Problems in Continuum Mechanics
    (Vorlesung, 2 SWS, Günther Grün, Wed, 10:00 - 12:00, Übung 4 / 01.253-128)

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:

1. 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)
2. 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)
3. 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

1. Prüfer:

Günther Grün