We consider the stochastic thin-film equation with colored Gaussian Stratonovich noise in
one space dimension and establish the existence of nonnegative weak (martingale) …

We prove well-posedness, partial regularity, and stability of a thin-film equation $ h_t+(m (h)
h_ {zzz}) _z= 0$ with general mobility $ m (h)= h^ n $ and mobility exponent $ n\in (1,\tfrac …

We consider the thin-film equation∂ t h+∇⋅(h 2∇ Δ h)= 0 in physical space dimensions (ie,
one dimension in time t and two lateral dimensions with h denoting the height of the film in …

Consider the thin-film equation h t+(hhyyy) y= 0 with a zero contact angle at the free
boundary, that is, at the triple junction where liquid, gas, and solid meet. Previous results on …

We consider the thin-film equation for a class of free boundary conditions modelling friction
at the contact line, as introduced by E and Ren. Our analysis focuses on formal long-time …

This thesis concerns problems arising in the study of flows of viscous fluids. In the first part,
we discuss the interaction of the flow of a viscous fluid with a random array of moving …