# Scientific activity

__Main scientific interests of the department of Differential Equations:__- Mathematical Modeling, Optimization and Control of Dynamical Systems and Processes in Science and Engineering.
- Optimal Control Problems for Partial Differential Equations with Control and State Constraints.
- Optimization of Traffic Flows on Networks.
- Optimal Control Problems for Nonlinear Hyperbolic Conservation Lows.
- Asymptotic Analysis of Optimization Problems on Reticulated Structures (perforated domains, thick multi-structures, thick junctions).
- Homogenization and Variational Convergence of Optimal Control Problems.
- Optimal Control Problems on Thick Periodic Graphs.
- Optimal Control Problems in Coefficients for Nonlinear PDE.
- Optimization Theory in Partially Ordered Normed Spaces.
- Inverse Problem Theory and Methods for Model Parameter Estimation.
- Exact and Approximate Methods of the Theory of Differential and Integral-Differential Equations.
- Mathematical Modeling and Simulation of the Heat and Mass Transfer Processes with Nonequilibrium Relaxation.