Generic properties of the spectrum of the Stokes system with Dirichlet boundary condition in R^3

Yacine Chitour, Djalil Kateb, Ruixing Long

Let (SD_Ω) be the Stokes operator defined in a bounded domain Ωof R^3 with Dirichlet boundary conditions. We prove that, generically with respect to the domain Ωwith C^5 boundary,…