Veranstaltungsdetails

K0108-40646xV Mathematische Kontinuumsmechanik (V) - Do(2) + Fr(4) unger. Wo

Lehrende: Prof. Dr. rer. nat. Stefan Minsu Neukamm
Veranstaltungsart: Vorlesung
Orga-Einheit: Mathematik
Semesterwochenstunden: 3
Unterrichtssprache: Deutsch/Englisch
Alternativtitel: Nonlinear Elasticity and Calculus of Variations
Inhalte: This course is an introduction to elasticity theory. It covers topics concerned with modeling, as well as analytical aspects that invoke ideas and methods from the theory of linear and nonlinear partial differential equations and the calculus of variations.

Elasticity theory is one of the backbones of continuum mechanics (CM). CM seeks for a systematic understanding of the motion of matter (solid or fluid) under the influence of forces and based on the (modeling) assumption that matter is continuously distributed in space. The branch of elasticity theory is concerned with solid materials - more precisely, solids that deform under the influence of forces and recover their original shape when the force is removed. 

This course starts with a brief presentation of the basic elements of CM with a focus on (non)linear and variational models for elasticity and the connection between various models. For this, we explain and apply various PDE techniques (weak formulation, Sobolev spaces, Lax Milgram, implicit function theorem), methods from the calculus of variations (direct method, polyconvexity), and asymptotic analysis (e.g. Gamma-convergence).
OPAL-Kurs: https://bildungsportal.sachsen.de/opal/auth/RepositoryEntry/32230113283

Literatur

Termine

Datum Von Bis Raum Lehrende
1 Do, 14. Okt. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
2 Fr, 15. Okt. 2021 13:00 14:30 Z21/217 Prof. Dr. rer. nat. Stefan Minsu Neukamm
3 Do, 21. Okt. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
4 Do, 28. Okt. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
5 Fr, 29. Okt. 2021 13:00 14:30 Z21/217 Prof. Dr. rer. nat. Stefan Minsu Neukamm
6 Do, 4. Nov. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
7 Do, 11. Nov. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
8 Fr, 12. Nov. 2021 13:00 14:30 Z21/217 Prof. Dr. rer. nat. Stefan Minsu Neukamm
9 Do, 18. Nov. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
10 Do, 25. Nov. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
11 Fr, 26. Nov. 2021 13:00 14:30 Z21/217 Prof. Dr. rer. nat. Stefan Minsu Neukamm
12 Do, 2. Dez. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
13 Do, 9. Dez. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
14 Fr, 10. Dez. 2021 13:00 14:30 Z21/217 Prof. Dr. rer. nat. Stefan Minsu Neukamm
15 Do, 16. Dez. 2021 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
16 Do, 6. Jan. 2022 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
17 Fr, 7. Jan. 2022 13:00 14:30 Z21/217 Prof. Dr. rer. nat. Stefan Minsu Neukamm
18 Do, 13. Jan. 2022 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
19 Do, 20. Jan. 2022 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
20 Fr, 21. Jan. 2022 13:00 14:30 Z21/217 Prof. Dr. rer. nat. Stefan Minsu Neukamm
21 Do, 27. Jan. 2022 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
22 Do, 3. Feb. 2022 09:20 10:50 Z21/380 Prof. Dr. rer. nat. Stefan Minsu Neukamm
23 Fr, 4. Feb. 2022 13:00 14:30 Z21/217 Prof. Dr. rer. nat. Stefan Minsu Neukamm

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Lehrende
  • Prof. Dr. rer. nat. Stefan Minsu Neukamm