SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP

ZELIK, SERGEY

Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 525-588

Résumé

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.

Détail

DOI : 10.1017/S0017089507003849

Mots-clés : 35Q30, 37L30, 76D03, 76D05

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