Main areas of research
- Wave turbulence
- Nonlinear stationary and non-stationary equations of mathematical physics
- Kinetic equations
- Vlasov equations and their applications in the kinetics of high-temperature plasma
- Computational mathematics, mathematical modeling and software development
- Boundary value problems for differential and functional differential equations
- Mathematical modeling in medicine: mathematical models in cardiology, oncology and immunology
- Spectral theory of differential operators and its application in mathematical physics