High-contrast homogenisation of linear PDEs

  • Mikhail Cherdantsev (Cardiff University)
A3 01 (Sophus-Lie room)


I will speak about a problem of homogenisation of a linear PDE with periodic coefficients. Coefficients of the operator are not supposed to be uniformly elliptic, they degenerate on a periodic subset of the domain as the period tends to zero (hence the term high-contrast homogenisation). The limit homogenised operator in this case is two-scale and possesses a band-gap spectrum. One of the key elements in the analysis of such type of problems is two-scale convergence (Nguetseng).

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher