250088 VU Gamma-Convergence and Phase Transitions of Heterogeneous Materials (2024S)
Continuous assessment of course work
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ON-SITE
Registration/Deregistration
Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
- Registration is open from Fr 15.03.2024 00:00 to Tu 30.04.2024 23:59
- Deregistration possible until Sa 11.05.2024 23:59
Details
max. 25 participants
Language: English
Lecturers
Classes
Erwin Schrödinger Institut für Mathematik und Physik,
Boltzmanngasse 9, 1090 Vienna
Erwin Schrödinger Hörsaal
Friday 12.4.2024, from 11.00 to 13.00;
Tuesday 16.4.2024, from 11.00 to 13.00;
Wednesday 17.4.2024, from 11.00 to 13.15;
Thursday 25.4.2024, from 11.00 to 13.15.
Information
Aims, contents and method of the course
The course in 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.
Assessment and permitted materials
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
Minimum requirements and assessment criteria
The students will prove to having absorbed the basic content of the course and to be able to report on the assigned material.
Examination topics
The material for the oral discussion will be provided to the students at the beginning of the course.
Reading list
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.
Association in the course directory
MANV; MAMV
Last modified: Th 14.03.2024 15:46