- Nonlinear solid mechanics: finite elasticity and elasto-plasticity
- Soft matter elasticity: polymers, liquid crystals, granular materials
- Electro-magneto-mechanically coupled systems
- Variational methods fracture mechanics
- Scientific computing
- Mechanics of biological systems
- Stokes Equations

Research Group:

## Mathematical Theory of Elasticity

- Nonlinear elasticity: derivation of the equilibrium equations.
- Existence theory via the implicit function theorem (Korn inequality, existence theory for linearized elasticity) and by variational methods (polyconvexity, weak continuity of minors, Ball's Theorem).
- Properties of solutions: global invertibility, singularities (cavitations).
- Rigorous relation between nonlinear and linearized elasticity in terms of Gamma-convergence.
- If time permits, lower dimensional models.