Research areas

Mathematical fluid dynamics:

  • Navier-Stokes equations and related problems


Partial differential equations of mathematical physics:

  • existence, uniqueness, regularity, and decay of solutions


Functional analysis, energy methods, and semigroup theory:

  • Helmholtz decomposition, Stokes semigroup and resolvent equations


Hydrodynamical potential theory and boundary integral equations:

  • Stokes boundary value problems, Stokes integral equations


Numerical analysis and approximation theory for partial differential equations:

  • finite differences, finite elements, boundary elements, approximate approximations, quadrature methods