Scattering amplitude of the elastic ball in a viscous isotropic fluid

On the basis of linearization of the combined Navier-Stokes equations without consideration of thermal effects, SLE of the fourth order, allowing finally to calculate a scattering amplitude of homogeneous elastic ball in a viscous fluid in the linear approach with arbitrary accuracy (to multipoles of arbitrary order) was obtained. In turn this will allow to apply further the procedure of evaluation of radiation pressure through a scattering amplitude in the linear approach, developed earlier to perfect fluids, and in case of weakly viscous fluids. The described procedure for obtaining scattering amplitude in the linear approach is universal and does not depend on the level of fluid viscosity.