Winter term 2023/24 Lecture Mathematical Principles of Continuum Mechanics

The mathematical modeling of physical, chemical, or biological processes leads to fascinating but complex partial differential equations. This course introduces the fundamentals of mathematical modeling and discusses important examples. A focus is placed on thermodynamically consistent descriptions of processes, meaning that the laws of thermodynamics must be satisfied.

Key examples include: (in)elastic deformations, fluid dynamics, electrodynamics, and phase transitions in materials.

In addition to consistent modeling, analytical challenges and solution methods are discussed.

Requirements: Analysis I - III, knowledge of linear functional analysis (weak compactness and convergence, Sobolev spaces) is helpful (but will be reviewed).

Lecture: Monday 11am (sharp) - 12.30 pm, 1.012 (RUD25), and Tuesday 11.15 am - 12.45 pm, 4.007 (RUD25).

Exercise Class: Monday 1.30 pm - 3pm, 1.012 (RUD25).

Lecturers: Janusz Ginster, ginsterj@hu-berlin.de, office: 2.106 (RUD25) Matthias Liero, liero@wias-berlin.de, office: (WIAS, Mohrenstraße 39, 10117 Berlin)

Exams: The exams will be oral.