ANDREJ V CHERKAEV portrait
  • Professor, Mathematics

Research Statement

I am working on 
  • Nonconvex variational problems, especially on structural optimization.  Particularly, he optimal layout of materials in a composite, an optimal layout of three and more materials, and related problems of quasiconvex envelopes for multiwell Lagrangians. 
  • Robust optimization in uncertain conditions, minimax approach.
  • Damage propagation in lattice structures, resilient structures, optimization of impacted structures, and compatibility conditions in dense lattices.

Publication list

Full text of the majority of publications in
Researchgate and Google scholar:
 

Research Keywords

  • Structural optimization
  • Optimal microstructure of multiphase composites
  • Nonconvex variational problems
  • Modeling of structural self-organization
  • Dynamics of destructable structures