“…However, there has been a lack of investigations of the PRI when the solid interface is deformable. Interestingly, soft solids such as gels and elastomers are ubiquitous in material and biological (a) E-mail: thomas.salez@cnrs.fr (corresponding author) sciences and their coupling with fluid flows is a current topic of research, as evidenced by soft wetting [40,41], soft levelling [42], soft dip-coating [43], contactless rheology of soft materials [44][45][46], or soft-lubrication lift [47,48]. In this article, we theoretically reveal and characterize the PRI of a viscous film on a fiber consisting of a rigid cylindrical core coated with a thin compressible elastic layer.…”