The stochastic thin film equation
- Date: Thursday 14 October 2021, 14:00 – 15:00
- Location: Online
- Type: Probability and Financial Mathematics, Seminars, Statistics
- Cost: Free. Booking required
Speaker: Prof. Dr. Benjamin Gess (Max Planck Institute, MIS, & Bielefeld University)
Abstract: The stochastic thin film equation arises in the evolution of thin films of fluids. It captures the evolution of the height of the fluid in terms of a degenerate, quasilinear stochastic PDE of fourth order. This makes the problem of the existence and uniqueness of solutions challenging. In this talk we first recall the motivation, derivation and basic facts about the stochastic thin film equation. We then focus on the construction of (weak) solutions in the case of spatially correlated noise for quadratic and cubic mobility.