Geodesic
SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP
Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 525-588

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DOI

The weighted energy theory for Navier-Stokes equations in 2D strips is developed. Based on this theory, the existence of a solution in the uniformly local phase space (without any spatial decaying assumptions), its uniqueness and the existence of a global attractor are verified. In particular, this phase space contains the 2D Poiseuille flows.
DOI : 10.1017/S0017089507003849
Mots-clés : 35Q30, 37L30, 76D03, 76D05 
ZELIK, SERGEY. SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP. Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 525-588. doi: 10.1017/S0017089507003849
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     title = {SPATIALLY {NONDECAYING} {SOLUTIONS} {OF} {THE} {2D} {NAVIER-STOKES} {EQUATION} {IN} {A} {STRIP}},
     journal = {Glasgow mathematical journal},
     pages = {525--588},
     year = {2007},
     volume = {49},
     number = {3},
     doi = {10.1017/S0017089507003849},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003849/}
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