Geodesic
Global solvability of the initial boundary value problem with periodic boundary conditions describing 2D Maxwell flow
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 111-117 Cet article a éte moissonné depuis la source Math-Net.Ru

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The system of equations describing 2D flow of Maxwell fluid is considered. The global existence of a weak solution for the initial boundary value problem with periodic boundary conditions is proved. The result allows us to prove the solvability of the corresponding Cauchy problem. 
@article{ZNSL_1997_243_a6,
     author = {N. A. Karazeeva},
     title = {Global solvability of the initial boundary value problem with periodic boundary conditions describing {2D} {Maxwell} flow},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {111--117},
     year = {1997},
     volume = {243},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a6/}
}
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N. A. Karazeeva. Global solvability of the initial boundary value problem with periodic boundary conditions describing 2D Maxwell flow. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 111-117. http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a6/