Research interests

1. Homogenization of PDE’s.

2. Asymptotic analysis of equations stated in perforated and thin domains.

3. Asymptotic analysis of Mathematical model of heterogeneous media, composite materials and structures.

4. Asymptotic and numerical analysis of a fluid in thin structures of complicated geometry.

5. Homogenization of integral functionals of Calculus of Variations with gradient constraints.

6. Singularly perturbed boundary value problems.

7. Waveguides.

8. Spectral theory.