Professor Andrej Cherkaev
(Андрей Всеволодович Черкаев)
Department of Mathematics
University
of Utah,
email: cherk@math.utah.edu
URL: http://www.math.utah.edu/~cherk
С вопросами обращайтесь по email: cherk@math.utah.edu. Пожалуйста, используйте латиницу.
I.
Compliant,
smart, bio-, nano- and other new materials and related mathematical
challenges
II.
Use of
the Internet to collect and sort information of hot new topics.
III.
Materials
with structural instabilities and nonconvex energies
IV.
Microstructures
and minimizing sequences.
V.
Relaxation
and quasiconvexity. Necessary and sufficient conditions for
quasiconvexity.
VI.
Microstructures
from linear materials. Coated spheres, ellipsoids and other exact
solutions. Mosaic of Laminates.
VII.
Polyconvexity
and beyond.
VIII.
Example
1. Domains of maximal stiffness.
IX.
Example
2. Phase transition. Problem of local minima
X.
Problem
of dynamic homogenization
XI.
Periodic
systems with localized excitation. Waves in a domino train.
XII.
Waves
in piecewise linear systems and waiting-link structures
XIII.
Examples
XIV. Optimal design problems.
Variational formulations
XV.
Transform
of a minimax principle into minimal principle.
XVI.
Minimax
approach to design with uncertain conditions.
XVII.
Understanding
of Evolutionary “designs” and the aim functionals.