The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness

Manuel V. Gnann, Mircea Petrache

We consider the thin-film equation ${\partial }_{t}h+\nabla \cdot \left(h^2\nabla \Delta h\right)=0$ in physical space dimensions (i.e., one dimension in time $t$ and two lateral dimens…