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

Together with Dr. Antonio Tribuzio, I am organizing the graduate seminar

  • S5B3 - Graduate Seminar of New Developments in PDE:
    Variational Methods and Inverse Problems

Have a look at the webpage for more information.

In the next semester (SS 2025) I'll offer the graduate seminar  

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

Have a look at the webpage for more information. 

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. (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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