Winter term 2025/26 Lecture Mathematical Principles of Continuum Mechanics

Contents

This course provides a thorough introduction to the mathematical principles of continuum mechanics and covers the fundamental concepts necessary to understand the behavior of materials and fluids under various conditions. The focus is on the mathematical methods and models used to describe deformations, flows, and the underlying physical processes. In addition to the physical concepts, the necessary mathematical methods are introduced to analyze the problems mentioned above. These include techniques for solving the corresponding nonlinear partial differential equations.

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Prerequisites

Content of the modules "Functional Analysis" and "Partial Differential Equations" from the Bachelor's degree program.

Lectures

  • Monday 11:00 till 12:30 weekly 2.006 Johann-von-Neumann-Haus - Rudower Chaussee 25 (RUD25)
  • Tuesday 11:00 till 12:30 weekly 2.006 Johann-von-Neumann-Haus - Rudower Chaussee 25 (RUD25)

Exercise

  • Monday 13:15 till 14:45 weekly 2.006 Johann-von-Neumann-Haus - Rudower Chaussee 25 (RUD25)

Oral exams

    1. February 2026 and 20. February 2026
    1. April 2026 and 14. April 2026 at WIAS, Anton-Wilhelm-Amo-Straße 39, Room 309

Lecturers

Literature

  • C. Truesdell & W. Noll, The Non-Linear Field Theories of Mechanics

  • Gurtin et al., The Mechanics and Thermodynamics of Continua

  • Antman, Nonlinear Problems of Elasticity

  • Evans, Partial Differential Equations (fundamentals of PDE analysis)