Serpelloni, M. Arricca, M.; Bonanno, C.; Salvadori, A.; Chemo-transport-mechanics in advecting membranes. International Journal of Engineering Science, Volume 181, 1 December 2022

In many actual technological problems the system response is dictated by multi-physics events, which occur at different space–time-scales. Energy storage systems or active polymers are two illustrative real-life applications: they involve diffusion of chemically active species concurrent to mechanical deformations that take place in the same spatial domain. An abundant literature exists nowadays for this class of problems. There are, though, several major applications in which the motion of species is confined on advecting surfaces. The transport along membranes which advect and chemically respond only after getting into contact with an obstacle is a classical problem in cell mechanobiology or coatings, for instance. Modeling and simulations for such a class of problems is thoroughly investigated in the present note.