معرفی
Professor Sergey Mikhailov is a Professor of Applied Mathematics and Analysis in the Department of Mathematical Sciences at Brunel University London, where he has been working since 2006. He is also an Advisory Editor of the journal Mathematical Methods in the Applied Sciences.
His educational background includes:
- MSc from Moscow Institute of Physics and Technology (State University), Moscow-Dolgoprudnyi, Russia
- PhD from Moscow Institute of Physics and Technology (State University), Moscow-Dolgoprudnyi, Russia
- DrSc from Institute for Problems in Mechanics, Academy of Sci. of the USSR, Moscow, Russia
Professor Mikhailov's research focuses on Applied Analysis, Solid Mechanics, and Computational Mathematics. His work specifically addresses Boundary-domain integral and integro-differential equations, Partial differential equations, Theoretical fatigue, damage, durability, and fracture mechanics, Free boundary problems for PDEs of elasticity with damage, and Nonlinear partial integro-differential Volterra equations of crack propagation in damaged media. His recent work has concentrated on Stokes, Oseen, and Navier-Stokes PDEs, particularly on existence, uniqueness and regularity of solutions of evolution (non-stationary) problems in Sobolev spaces.
Analysis of his recent publications (2019-2024) reveals a strong focus on fluid dynamics problems, particularly Navier-Stokes equations with anisotropic and variable coefficients. His work often involves boundary-domain integral equations and their applications to various boundary value problems. The research spans theoretical aspects of existence and uniqueness of solutions as well as practical applications in mechanics and engineering.
Professor Mikhailov has been involved in several significant research grants:
- Mathematical Analysis of Localised Boundary-Domain Integral Equations for Nonlinear PDEs (EPSRC, EP/M013545/1, 2015-2018)
- Mathematical Analysis of Localised Boundary-Domain Integral Equations for BVPs with Variable Coefficients (EPSRC, EP/H020497/1, 2010-2013)
- Boundary-Domain Integral and Integro-Differential Equations: Formulation, Analysis, Localisation (Royal Society, 2006-2009)
- Analysis of Boundary-Domain Integral and Integro-Differential Equations (London Mathematical Society and Nuffield Foundation, 2006-2008)
- Nonlinear Dynamics and Rock Contact Fracture Mechanics in Modelling of Vibration Enhanced Drilling (EPSRC, 2002-2006)
- Non-Local Approach to High Cyclic Fatigue: Theoretical Basis (EPSRC, 1999-2001)
He teaches MA2632 (Algebra and Analysis) and MA1608 (Elements of Applied Mathematics) at Brunel University London and serves as a Research Mentor in the Mathematics Department. Professor Mikhailov is a member of the London Mathematical Society.
His PhD supervision focuses on topics in Applied Mathematics, Applied Analysis and Solid Mechanics, particularly the analysis of Stokes, Oseen, and Navier-Stokes PDEs, and the investigation of existence and uniqueness of solutions for boundary-domain integral and integro-differential equations.
