S4B2: Graduate Seminar on PDE - Evolution Equations Arising in Continuum Mechanics
In this research-oriented seminar, we will discuss evolutionary models arising in continuum mechanics. Click here and here to download the announcement and the preliminary content. If you are interested in participating, please contact me via email: mailto:lmachill(at)uni-bonn.de
The seminar takes place on Tuesday at 12:15 in SemR 0.011, and the first meeting is on the 15th of April. Please register via BASIS. Camillo Tissot is the co-organizer.
Calendar
- 15.04.2025: Lennart Machill
Introduction
- 22.04.2025: Christian Poggenburg
Compact sets in the space $L^p(0,T; B)$
- 29.04.2025: Eske Bockelmann
Quasistatic viscoelasticity with self-contact at large strains
- 06.05.2025: So Murata
Korn's First Inequality with variable coefficients and its generalization
- 13.05.2025: Daniel Linn
Dimension reduction in Viscoelasticity
- 20.05.2025: Lorenzo Nartase
Nonlinear Viscoelasticity and its gradient flow structure
- 27.05.2025: Thomas Häßel
Nonlinear rigidity estimates and their relation to the shape of the domain
- 3.06.2025: Victor Amberger
The Variational Formulation of the Fokker-Planck equation
- 10.06.2025: Pfingsten (i.e. no meeting)
- 17.06.2025: Lennart Machill
Properties of the One-Well Problem in Nonlinear Elastostatics
Abstract: We discuss the concept of relaxation in nonlinear elasticity and compute the quasiconvex envelope of the squared distance function to SO(2). Moreover, an example of an unbounded minimizer with zero boundary conditions is provided, which will also illustrate why minimizers are generally not unique. Finally, if time permits, we discuss properties of a minimizer for a perturbed problem. The presentation is mainly based on an article by the authors Dolzmann, Kristensen, Zhang from the year 2012.
- 24.06.2025: Malte Borken
Thermo-visco-elasticity at small strains with $L^1$-data
- 1.07.2025: Lennart Machill
(Evolutionary) Gamma-convergence in nonlinear (Visco-)elasticity
- 08.07.2025: Lennart Machill
Further results on the topics of thermoviscoelasticity and dimension reduction
- 15.07.2025: Lennart Machill
Final meeting: A summary of the seminar series