Hölder continuity of weak solutions to the thin-film equation in $d=2$

Federico Cornalba, Julian Fischer, Erika Maringová Kokavcová

The thin-film equation ${\partial }_{t}u=-\nabla \cdot (u^n\nabla \Delta u)$ describes the evolution of the height $u=u(x,t)\ge 0$ of a viscous thin liquid film spreading on a flat solid…