The dynamics of solid in gas sorbing on its surface

Under the condition of little Mach number and Strouhal number the dynamical system describing dynamics of solid with smooth convex surface was driven in the approach of steady mass and steady mass geometry. The interaction is considered be nonuniform combination of diffuse, elastical and sorption. The condition of finiteness of system solution was derived. The condition of uniqueness and global stability of steady state solution was found. Under this condition the asymptotic of coordinate trajectory is shown to be a cylindrical helix, that is qualitatively correspond some experimental results.