Nichtlineare Analysis

  1. Universität
  2. Fakultäten
  3. Mathematisch-Naturwissenschaftlich-Technische Fakultät
  4. Institut für Mathematik
  5. Lehrstühle
  6. Nichtlineare Analysis
  7. Mitarbeiterinnen und Mitarbeiter
  8. Matthias Ruf

Dr. Matthias Ruf

externes Gruppenmitglied
Nichtlineare Analysis
Telefon: +49 821 598 2154
E-Mail:
Raum: 2020 (L1)
Adresse: Universitätsstraße 14, 86159 Augsburg

Research interests

  • Calculus of variations
  • Gamma-convergence
  • Homogenization
  • Discrete-to-continuum limits

Short CV

  • Since 03/24: Temporary position for Principal Investigators at University of Augsburg (funded by DFG)
  • 09/19 - 02/24: Bernoulli Instructor at EPFL
  • 02/17 - 08/19: Postoc at UL Brussels (mentor: Prof. Antoine Gloria)
  • 02/17: PhD in Mathematics at TU Munich (supervisor: Prof. Marco Cicalese)

Publications/preprints

24. M. Ruf and M. Schäffner: Upper bounds for the homogenization problem in nonlinear elasticity: the incompressible case. Preprint (2024), arXiv 2405.12877.
 
23. L. Koch, M. Ruf and M. Schäffner: On the Lavrentiev gap for convex, vectorial integral functionals. Preprint (2023), arXiv 2305.19934.

   
22. A. Bach and M. Ruf: Stochastic homogenization of functionals defined on finite partitions. Preprint (2023), arXiv 2303.14024.
    
21. M. Duerinckx, A. Gloria and M. Ruf: A spectral ansatz for the long-time homogenization of the wave equation. Journal d'Ecole polytechnique. Mathématiques, 11 (2024), 523-587.

 

20. M. Ruf and M. Schäffner: New homogenization results for convex integral functionals and their Euler-Lagrange equations. Calculus of Variations and Partial Differential Equations, 63 (2024), art. 32.

 

19. M. Ruf and C. I. Zeppieri: Stochastic homogenization of degenerate integral functionals with linear growth. Calculus of Variations and Partial Differential Equations, 62 (2023), art 138.

 

18. M. Cicalese, G. Orlando and M. Ruf: A classical S2 spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings. Nonlinear Analysis, 231 (2023), 112929.

 

17. M. Ruf and T. Ruf: Stochastic homogenization of degenerate integral functionals and their Euler-Lagrange equations. Journal d'Ecole polytechnique. Mathématiques, 10 (2023), 253-303.

 

16. A. Bach and M. Ruf: Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions. Calculus of Variations and Partial Differential Equations, 61 (2022), art. 84.

 

15. M. Cicalese, G. Orlando and M. Ruf: The N-clock model: Variational analysis for fast and slow divergence rates of N. Archive for Rational Mechanics and Analysis, 254 (2022), 1135-1196.

 

14. M. Cicalese, G. Orlando and M. Ruf: Coarse graining and large-N behavior of the d-dimensional N-clock model. Interfaces and Free Boundaries, 23 (2021), 323-351.

 

13. M. Cicalese, G. Orlando and M. Ruf: Emergence of concentration effects in the variational analysis of the N-clock model. Communications on Pure and Applied Mathematics, 75 (2022), 2279-2342

 

12. A. Bach, M. Cicalese and M. Ruf: Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size. SIAM Journal of Mathematical Analysis, 53 (2021), 2275-2318.

 

11. M. Cicalese, A. Gloria and M. Ruf: From statistical polymer physics to nonlinear elasticity. Archive for Rational Mechanics and Analysis, 236 (2020), 1127-1215.

 

10. A. Gloria and M. Ruf: Loss of strong ellipticity through homogenization in 2D linear elasticity: A phase diagram. Archive for Rational Mechanics and Analysis, 231 (2019), 845-886.

 

  9. M. Ruf: Discrete stochastic approximations of the Mumford-Shah functional. Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 36 (2019), 887-937.

 

  8. M. Ruf: Motion of discrete interfaces in low-contrast random environments. ESAIM: Control, Optimization and Calculus of Variations, 24 (2018), 1275-1301.

 

  7. M. Cicalese, M. Ruf and F. Solombrino: Hemihelical local minimizers in prestrained elastic bi-strips. Zeitschrift für Angewandte Mathematik und Phyisk, 68 (2017), art. 122.

 

  6. A. Braides, M. Cicalese and M. Ruf: Continuum limit and stochastic homogenization of ferromagnetic thin films. Analysis & PDE, 11 (2018), 499-553.

 

  5. M. Ruf: On the continuity of functionals defined on partitions. Advances in the Calculus of Variations, 11 (2018), 335-339.

 

  4. M. Cicalese, M. Ruf and F. Solombrino: On global and local minimizers of prestrained thin elastic rods. Calculus of Variations and Partial Differential Equations, 56 (2017), art. 115.

 

  3. M. Cicalese and M. Ruf: Discrete spin systems on random lattices at the bulk scaling. Discrete and Continuous Dynamical Systems, Series S, 10 (2017), 101-117.


  2. M. Cicalese, M. Ruf and F. Solombrino: Chirality transitions in frustrated S2-valued spin systems. Mathematical Models and Methods in Applied Sciences, 26 (2016), 1481-1529.

 

  1. R. Alicandro, M. Cicalese and M. Ruf: Domain formation in magnetic polymer composites: an approach via stochastic homogenization. Archive for Rational Mechanics and Analysis, 218 (2015), 945-984.

 

Preprints can be found on https://cvgmt.sns.it/person/1692/.

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