Professor Sergey Mikhailov
Professor - Applied Mathematics and Analysis
Topics
in Applied Mathematics, Applied Analysis and Solid Mechanics
- Analysis of Stokes, Oseen, and Navier-Stokes PDEs, especially of existence, uniqueness, and regularity of solution for evolution (non-stationary) problems in Sobolev spaces.
- Analysis of Linear and Nonlinear Localised Boundary-Domain Integral and Integro-Differential Equations. Investigation of existence and uniqueness of solution and spectral properties of localised boundary-domain integral and integro-differential equations needed for development of a new family of fast convergent and robust iteration methods for numerical solution of linear and nonlinear boundary value problems for partial differential equations with variable coefficients.
- Some other topics can be considered as well.