Viscoelasticity of a liquid-solid interface

We solved a theoretical problem of a conjunction between semi-infinite elastic solid and a semi-infinite viscous fluid and calculated the boundary condition for the dynamics of the fluid.

The fluid showed an effective slip behaviour.

The conjunction between the solid and the liquid showed a viscoelastic behaviour.

We then calculated the correction for the mobility of a small spherical particle near an elastic medium, to an already known result of a mobility of a sphere next to an infinitly rigid wall.

The result showed an interesting observation regarding using it for rehology in soft matter (such as biological Actin fibers network).