5 papers
Strong solutions and stability for a thin-film equation of shear-thinning fluids with contact line in partial wetting
Manuel V. Gnann, Christina Lienstromberg, Katerina Nik
We consider a power-law thin-film equation for strongly shear-thinning fluids. Weak solutions to this equation have been constructed more than twenty years ago by Ansini and Giacom…
Well-posedness and stability of the self-similar profile for a thin-film equation with gravity
Manuel V. Gnann, Slim Ibrahim
We consider the thin-film equation with linear mobility and a stabilizing second-order porous-medium type term modeling gravity. The model admits self-similar solutions, and our go…
Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an -setting of monomially we…
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 with general mobility and mobility exponent $n\in (1,…
Solutions to the stochastic thin-film equation for initial values with non-full support
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann +1
The stochastic thin-film equation with mobility exponent on the one-dimensional torus with multiplicative Stratonovich noise is considered. We show that mart…