Singular boundary condition for a degenerated turbulent toy model
Abstract
We consider a toy model with the Prandtl mixing lenght as eddy viscosity, that vanishes at the boundary, and a Navier like friction law as boundary condition. We address the paradox of the degeneracy of the boundary condition, which we approach by a problem of singular perturbations. We show a convergence theorem for well-prepared source terms, and we illustrate our analysis with a series of analytical examples, showing blow up cases and convergence cases for well-prepared data.
Origin : Files produced by the author(s)