On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space Original Research Article

The paper deals with the initial-value problem for the system of motion equations of a wide class of incompressible nonlinear viscoelastic mediums, i.e. mediums possessing both nonlinear viscous and viscoelastic properties, in the whole space View the MathML source or View the MathML source. The existence and uniqueness of global in time solutions of this problem for small data are obtained.