Direction 1 - phase transitions during deformation; mechanochemistry; biomechanics;
Direction 2 - asymptotic analysis and mathematical modeling of wave processes in medium with singular disturbances

Direction 1 (head Prof. Freidin A.B.)

• Statement and solutions of coupled problems of stress-induced phase transformations, mechanochemistry and biomechanics. Modeling of two-phase microstructures arising in solids under deformation. Modeling the interconnections between stress-strain state and phase and chemical transformations in deformable solids.
• Mechanics of heterogenous materials.

Direction 2 (head Prof. Nazarov S.A.)

• Asymptotic analysis of boundary problems with singular perturbations. Asymptotic analysis of elastic rod joints.
• Wave processes in cylindrical periodic waveguides - acoustic, quantum, elastic and piezoelectric, as well as waves on the surface of a liquid.
• Spectral problems in areas with peak-like boundaries.