Existence and asymptotic stability of strong solutions to the shear-thinning thin-film equation are established for perturbations of the linear contact-line profile using time discretization and compactness.
Br´ ezis.Functional analysis, Sobolev spaces and partial differential equations
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Strong solutions and stability for a thin-film equation of shear-thinning fluids with contact line in partial wetting
Existence and asymptotic stability of strong solutions to the shear-thinning thin-film equation are established for perturbations of the linear contact-line profile using time discretization and compactness.