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