The Cox-Voinov law for traveling waves in the partial wetting regime

Manuel V. Gnann, Anouk C. Wisse

We consider the thin-film equation ${\partial }_{t}h+{\partial }_y\left(m(h){\partial }_y^{3}h\right)=0$ in $\{h>0\}$ with partial-wetting boundary conditions and inhomogeneous mobili…