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Professor Sergey Mikhailov
Professor - Applied Mathematics and Analysis

Tower A 217

Research area(s)

Applied Analysis, Solid Mechanics, and Computational Mathematics, including:

  • Analysis of Stokes, Oseen, and Navier-Stokes PDEs, especially of existence, uniqueness and regularity of solution of evolution (non-stationary) problems in Sobolev spaces.
  • Boundary-domain integral and integro-differential equations.
  • Theoretical fatigue, damage, durability, and fracture mechanics.
  • Nonlinear partial integro-differential Volterra equations of crack propagation in damaged media.

Research grants and projects

Project details

  • Mathematical Analysis of Localised Boundary-Domain Integral Equations for Nonlinear PDEs, funded by the , 2015-2018.
  • , funded by the , 2010-2013.
  • Boundary-Domain Integral and Integro-Differential Equations: Formulation, Analysis, Localisation, funded by the , 2006-2009.
  • Analysis of Boundary-Domain Integral and Integro-Differential Equations, funded by the and , 2006-2008.
  • Nonlinear Dynamics and Rock Contact Fracture Mechanics in Modelling of Vibration Enhanced Drilling, , 2002-2006. 
  • Non-Local Approach to High Cyclic Fatigue: Theoretical Basis, funded by the , 1999-2001