My previous papers were dedicated to the investigation of Liouville equation: existence theorems, asymptotics, stability, qualitative properties. The large cycle of investigations has been realized on the investigation of Vlasov equation (Vlasovndash;Maxwell and Vlasov–Poisson systems). In the last time the scope of my interests lies in the field of kinetic equations and its applications to the semiconductor problems. In this direction were obtained existence theorems for the boundary value problems described by semilinear nonlocal elliptic systems.
Main publications:
Markov Yu., Rudykh G., Sidorov N., Sinitsyn A., Tolstonogov D. Steady-state solutions of the Vlasov–Maxwell system and their stability // Acta. Appl. Math., 1992, 28(3), 253–293.
