Achtung! Das Lehrangebot ist noch nicht vollständig und wird bis Semesterbeginn laufend ergänzt.
250123 VO Ausgew. Kap. aus PDG: Freie Randwertprobleme (2005W)
Ausgewählte Kapitel aus Partielle Differentialgleichungen: Freie Randwertprobleme
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Dienstag 11:00 - 13:00 Uhr, Seminarraum C 714 (Mathematik) UZA 4. Erstmals am 04.10.2005 C714
Details
Information
Ziele, Inhalte und Methode der Lehrveranstaltung
Art der Leistungskontrolle und erlaubte Hilfsmittel
Mindestanforderungen und Beurteilungsmaßstab
To learn about certain problems in mathematical physics related to
industrial problems. The prime goal, besides learning about how mathematics-
and especially partial differential equations- can be used to formulate
problems in physics, mechanics, finance, biology, and industry, is to
introduce students to real-world problems and problems in the frontier of
active research. The course can be seen as an introduction to the topic
"Free Boundary Problems" and there are possibilities of further study
industrial problems. The prime goal, besides learning about how mathematics-
and especially partial differential equations- can be used to formulate
problems in physics, mechanics, finance, biology, and industry, is to
introduce students to real-world problems and problems in the frontier of
active research. The course can be seen as an introduction to the topic
"Free Boundary Problems" and there are possibilities of further study
Prüfungsstoff
Basic functional analysis, Function spaces, Green's formula and boundary
value problems, second order elliptic pde.
From Variational Inequality: The projection theorem, existence results,
stability, comparison and maximum principles.
value problems, second order elliptic pde.
From Variational Inequality: The projection theorem, existence results,
stability, comparison and maximum principles.
Literatur
Variational Principles and Free Boundary Problems; A. Friedman; Wiley & Sons (1983).Obstacle problems in mathematical physics; by Jose-Francisco Rodrigues (1986); North-Holland, Mathematics studies 134.Also additional handouts and research papers, if necessary.
Zuordnung im Vorlesungsverzeichnis
Letzte Änderung: Fr 31.08.2018 08:54
Deformation of a membrane, Variational inequality, Minimal and Capilary
surfaces, Torsion of an elastic-plastic cylindrical bar, Cavitation problem
in hydrodynamic lubrication, The Navier-Stokes equation...
Free boundary problems:
Filtration, Dam problem, Stefan problem, Some properties of Free Boundaries