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

Die ehemalige Doktorandin am IAM, Lisa Hartung (aktuell: Courant Institute of Mathematical Sciences, New York), wurde für ihre herausragende Doktorarbeit "Extremal Processes in Branching Brownian Motion and Friends" (Betreuer: Prof. Bovier) mit dem Förderpreis der DMV-Fachgruppe Stochastik ausgezeichnet. Details hier. (14.03.2018)

Prof.  Patrik Ferrari erhält den ersten Alexandros Award zusammen mit Ivan Corwin (Columbia University) und Alexei Borodin (MIT) für den Artikel "Free energy fluctuations for directed polymers in random media in 1+1 dimensions".
Details siehe hier. (12.03.2018)

Frau Dr. Martina Vera Baar erhält den Hausdorff-Gedächtnispreis für die beste Dissertation des akademischen Jahres 2016/17 (Betreuer: Prof. Dr. A. Bovier, IAM). (Pressemitteilung, 24.01.2018)

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