Geodesic
Existence of global solutions for a parabolic
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 38, Tome 348 (2007), pp. 254-271 
M. Fuchs; G. A. Seregin. Existence of global solutions for a parabolic. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 38, Tome 348 (2007), pp. 254-271. http://geodesic.mathdoc.fr/item/ZNSL_2007_348_a8/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this note we consider an initial-boundary value problem describing a nonlinear variant of the nonstationary Stokes equation. We prove the existence of a (unique) global solution with Galerkin-type arguments. This result is not new but the method can be seen as an alternative to the technique presented for example in [7].

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