250088 VU Gamma-Convergence and Phase Transitions of Heterogeneous Materials (2024S)
Prüfungsimmanente Lehrveranstaltung
Labels
VOR-ORT
An/Abmeldung
Hinweis: Ihr Anmeldezeitpunkt innerhalb der Frist hat keine Auswirkungen auf die Platzvergabe (kein "first come, first served").
- Anmeldung von Fr 15.03.2024 00:00 bis Di 30.04.2024 23:59
- Abmeldung bis Sa 11.05.2024 23:59
Details
max. 25 Teilnehmer*innen
Sprache: Englisch
Lehrende
Termine
Erwin Schrödinger Institut für Mathematik und Physik,
Boltzmanngasse 9, 1090 Wien Erwin Schrödinger Hörsaal
Freitag 12. April: 11.00-13.00 Uhr;
Dienstag 16. April: 11.00-13.00 Uhr;
Mittwoch 17. April: 11.00-13.15 Uhr;
Donnerstag 25. April: 11.00-13.15 Uhr.
Information
Ziele, Inhalte und Methode der Lehrveranstaltung
The course is intended to provide an invitation to some actual research directions in the calculus of variations, especially in relation with materials science. Variational models and methods for the description of phase change, homogenization, and high-contrast materials will be presented. Variational approximation by Gamma-convergence will be the overarching technical setting.
Art der Leistungskontrolle und erlaubte Hilfsmittel
The students will be asked to attend and interact during the lectures. Moreover, they will be asked to read a paper, describe its motivation, new mathematical ideas and concepts, open problems and possible follow-ups
Mindestanforderungen und Beurteilungsmaßstab
The students will prove to have knowledge of the basic content of the course and to be able to report on the assigned material.
Prüfungsstoff
The material for the oral discussion will be provided to the students at the beginning of the course.
Literatur
The course will be based on scientific papers, which will be provided at the beginning of the course.
As general reference on the subject one can indicate the classical monographs:
1) Dal Maso, Gianni. An introduction to Gamma-convergence. (English summary)
Progress in Nonlinear Differential Equations and their Applications, 8. Birkhäuser Boston, Inc., Boston, MA, 1993.
2) Dacorogna, Bernard. Introduction to the calculus of variations. Third edition. Imperial College Press, London, 2015.
3) Fonseca, Irene; Leoni, Giovanni Modern methods in the calculus of variations: Lp spaces. Springer Monographs in Mathematics. Springer, New York, 2007.
As general reference on the subject one can indicate the classical monographs:
1) Dal Maso, Gianni. An introduction to Gamma-convergence. (English summary)
Progress in Nonlinear Differential Equations and their Applications, 8. Birkhäuser Boston, Inc., Boston, MA, 1993.
2) Dacorogna, Bernard. Introduction to the calculus of variations. Third edition. Imperial College Press, London, 2015.
3) Fonseca, Irene; Leoni, Giovanni Modern methods in the calculus of variations: Lp spaces. Springer Monographs in Mathematics. Springer, New York, 2007.
Zuordnung im Vorlesungsverzeichnis
MANV; MAMV
Letzte Änderung: Do 14.03.2024 15:46