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