Institute for applied mathematics

Adolfo Arroyo Rabasa

I am currently a Ph.D. student under the advise of Prof. Stefan Müller. 

Areas of specialization

  • Calculus of Variations
  • Geometric Measure Theory
  • Minimal Surfaces
  • Homogenization Theory and Composite Materials

Research interests

  • Calculus of variations and optimization
  • Homogenization theory and the theory of composites
  • Regularity theory for variational problems
  • Geometric measure theory and minimal surfaces
  • Lower semi-continuity of integral functionals

Publications

  1. Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints 
    (with G. De Philippis and F. Rindler)
    submitted   arXiv       PDF

  2. Relaxation and optimization for linear-growth convex integral functionals under PDE constraints
    J. Funct. Anal.   online version

  3. Regularity for free interface variational problems in a general class of gradients 
    Calc. Var. Partial Differential Equations, 55(6), 154-197, 2016   online version

Here you can find more information about me.

Current projects

  • Multi-scale generalized Young measures, Part I (with J. Diermeier)
  • Multi-scale generalized Young measures, Part II: applications to homogenization of PDE constrained problems (with J. Diermeier)
  • Analysis of the fine properties of $\mathcal A$-free measures (with G. De Philippis and F. Rindler)
  • A note on lower recession functions of rank one convex functions
  • Lower semicontinuity of linear growth functionals with PDE constraints of variable coefficients (with E. Diavoli and M. Morandotti) 

News

Prof. Dr. S. Müller erhält den diesjährigen Lehrpreis der Universität Bonn (07.07.17).

Prof. Dr. Michael Ortiz kommt als Bonn Research Chair ans IAM (Pressemitteilung, 29.7.2016).

Prof. Dr. S. Conti erhält den diesjährigen Lehrpreis der Universität Bonn (05.07.2016).

Prof. Dr. Karl-Theodor Sturm, Koordinator des Hausdorff Zentrums für Mathematik an der Universität Bonn, erhält für seine eigene Forschung einen begehrten Advanced Grant des Europäischen Forschungsrats (ERC). (Pressemitteilung 21.04.2016)

Prof. Dr. Stefan Müller has been invited to become full member of the scientific society “Academia Europaea” in November. Only European scientists, who have been recommended by a review board and are confirmed by a vote of the council, can join the society. (06.01.2016)

Contact

Managing Director: Prof. Dr. Anton Bovier
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
Imprint

Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany