Smooth periodic solutions of the penalized Maxwell fluid dynamics equations

The existence of smooth periodic solutions of the penalized Maxwell equations (2) is proved. The limit passage as ε→0 is investigated. Bibliography: 8 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 206, 1993, pp. 85–90. Translated by Ya. Belopol'skaya.