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math.AP2026
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…
math.AP2026
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…