# "SPP meets TP" Workshop: Variational methods for complex phenomena in solids

**Dates: **February 21 - 24, 2023**Venue:** HIM lecture hall, Poppelsdorfer Allee 45, Bonn

Organizers: Georg Dolzmann (Regensburg), Xavier Lamy (Toulouse), Angkana Rüland (Heidelberg)

In the past years, the interplay between the mathematical analysis and engineering of solids has lead to the emergence of exciting new and complex materials with exceptional properties. In all of these, multiple scales are present which in turn provide new formidable mathematical challenges. Important progress has, in particular, been obtained through variational methods including the derivation of effective models through $\Gamma$-convergence, variational evolution problems or relaxation methods. Yet major questions remain unsolved. It is the purpose of this workshop is to bring together experts working in this field and to provide a platform enhancing the interaction between the researchers from the Germany-based Priority Programme 2256 and the trimester programme.

Click here for the schedule.

Click here for the abstracts.

Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.

# Video Recordings

# Day 1

Filip Rindler: Elasto-plasticity driven by dislocation movement

Amit Acharya: An action functional for nonlinear dislocation dynamics

Cy Maor: From Volterra's dislocations to strain-gradient plasticity

Philipp Tscherner: Modeling and Simulation of Paper Folding

Marta Lewicka: Geodesics and isometric immersions in kirigami

# Day 2

Janusz Ginster: Scaling Laws and the Emergence of Complex Patterns in Helimagnetism

Gokul Nair: Energy Minimizing Configurations for Single-Director Cosserat Shells

Peter Lewintan: L^1-Korn-Maxwell-Sobolev inequalities in all dimensions

Rumin Zhang: Wave propagation in periodic waveguides: spectral decomposition and numerical simulation

# Day 3

Maria Stella Gelli: Asymptotic analysis of convolution-type energies on periodically perforated domains

Maria Giovanna Mora: Explicit minimizers for anisotropic Coulomb energies

David Wiedemann: Homogenisation of processes in porous media with evolving microstructure

Bernd Schmidt: Fracture and Curvature in Thin Structures

Mohammad Sarhil: Aspects on modeling the size-effects of mechanical metamaterials via the relaxed micromorphic model

# Day 4

Alice Marveggio: Approximation flow multiphase mean curvature flow by means of the Allen-Cahn phase-field model