Lennart Machill

I am a postdoc in the group of Prof. Dr. Angkana Rüland. My general research interests lie in applied analysis, more precisely in the Calculus of Variations and nonlinear PDEs, with applications to problems in materials science. In particular, my main research questions and mathematical techniques include:

  • (Metric) gradient flows
  • Γ-convergence
  • Linearization and dimension reduction
  • Generalized Korn’s inequalities and geometric rigidity
  • Analysis and modeling of (thermo-)viscoelastic materials

News

In the summer term, I'll offer the graduate seminar  

  • S4B2: Graduate Seminar on PDE:
    Evolution Equations Arising in Continuum Mechanics

Currently, there are two free slots. Have a look at the webpage for more information.
Moreover, we warmly welcome every participant to our group seminar.

Contact

Room 3.025
Institute for Applied Mathematics
Endenicher Allee 60
53115 Bonn
mailto:lmachill(at)uni-bonn.de

Articles

  • Nonlinear relations of viscous stress and strain rate in nonlinear Viscoelasticity. Journal of Elasticity 157, 26 (2025) [Preprint, Article]
  • (with R. Badal, M. Kružík and M. Friedrich) Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models. Journal de Mathématiques Pures et Appliquées (to appear) (2024) [Preprint]
  • (with R. Badal and M. Friedrich) Derivation of a von Kármán plate theory for thermoviscoelastic solids. Mathematical Models and Methods in Applied Sciences (M3AS) (2024) [Preprint, Article]
  • (with M. Friedrich) One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams. Calculus of Variations and Partial Differential Equations 62, 190 (2023) [Preprint, Article]
  • (with M. Friedrich) Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. Nonlinear Differential Equations and Applications NoDEA 29, 11 (2022) [Preprint, Article]

 

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