Geodesic
Smooth global solutions of initial boundary-value problems for the equations of Oldroyd fluids and of their $\varepsilon$-approximations
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XI, Tome 229 (1995), pp. 247-267 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper considers the solvability of the firsst and second initial boundary-value problems (with sticking or sliding conditions, respectively) for equations describing the motion of Oldroyd fluids and of their $\varepsilon$-approximations in classes of functions of higher smoothness. Bibliography: 23 titles. 
@article{ZNSL_1995_229_a7,
     author = {A. P. Oskolkov},
     title = {Smooth global solutions of initial boundary-value problems for the equations of {Oldroyd} fluids and of their $\varepsilon$-approximations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {247--267},
     year = {1995},
     volume = {229},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_229_a7/}
}
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A. P. Oskolkov. Smooth global solutions of initial boundary-value problems for the equations of Oldroyd fluids and of their $\varepsilon$-approximations. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XI, Tome 229 (1995), pp. 247-267. http://geodesic.mathdoc.fr/item/ZNSL_1995_229_a7/