The stochastic thin film equation

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. 

The talk will take place online over zoom. If you are interested in attending, you can write us an email here or here and we will send you the meeting ID and password.