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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.