| Abstract: | Smooth convergent ε-approximations (33), (34) and (38), (39) are constructed for the equations of Kelvin-Voight fluids (1) and for the equations of Kelvin-Voight fluids of order L=1,2,…(2). Namely, it is shown that, for any ε>0, the first initial boundary-value problem for the three-dimensional perturbed systems (33), (34) and (38), (39) has a unique classical solution in the large. As ε→0, these solutions converge to the classical solutions of the first initial boundary-value problem for the equations of Kelvin-Voight fluids (1) and for the equations of Kelvin-Voight fluids of order L=1,2,… (2), respectively. Bibliography: 19 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 219, 1994, pp. 186–212. Translated by N. B. Lebedinskaya. |
