Max Sauerbrey (Max-Planck-Institut für Mathematik in den Naturwissenschaften): Dirichlet form approach to stochastic thin-film equations

Coffee and cookies at 15:00 in room 1404

Abstract: 
The stochastic thin-film equation is a degenerate parabolic, quasilinear, singular PDE. Based on its geometric structure, we obtain a notion of solution as a Markov process characterized by Dirichlet form theory. This probabilistically weak approach allows to deduce regularity properties and the convergence of discretizations using the properties of (approximations of) the form. We also characterize it as what is called in 'energy solution', yielding a decomposition into its deterministic and stochastic driving forces. This talk is based on joint work with Benjamin Gess and Felix Otto.

Best regards
Felipe Trolldenier