optimal boundary control, asymptothic methods for fast oscillation functions, math. methods in economics.
Main publications:
V.V. Grushin, S.Yu. Dobrokhotov, S.A. Sergeev, “Osrednenie i dispersionnye effekty v zadacha o rasprostranenii voln, porozhdennykh lokalizovannym istochnikom.”, Trudy MIAN, 281 (2013), 170-187
S.Yu. Dobrokhotov, S.A. Sergeev, B. Tirozzi., “Asymptotic Solutions of the Cauchy Problem with Localized Initial Conditions for Linearized Two-Dimensional Boussinesq-Type Equations with Variable Coefficients.”, Russian Journal of Mathematical Physics, 20:2 (2013), 155-171