Asymptotic stability and time periodicity of "small" solutions of the equations of the motion of oldroyd and Kelvin-Voight fluids

One proves the asymptotic stability and the time periodicity of the "small" classical solutions of the systems of equations (1) and (2), describing the motion of the Oldroyd and Kelvin—Voight fluids, respectively.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Akademii Nauk SSSR, Vol. 180, pp. 63–75, 1990.