Classical solutions to the thin-film equation with general mobility in the perfect-wetting regime

Manuel V. Gnann, Anouk C. Wisse

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