Homogenization of PDE’s.
Asymptotic analysis of equations stated in perforated and thin domains.
Asymptotic analysis of Mathematical model of heterogeneous media, composite materials and structures.
Asymptotic and numerical analysis of a fluid in thin structures of complicated geometry.
Homogenization of integral functionals of Calculus of Variations.
Singularly perturbed boundary value problems.
Waveguides.
Spectral theory.