Tohoku Mathematical Journal
2013
June
SECOND SERIES VOL. 65, NO. 2

Tohoku Math. J.
65 (2013), 273-279

Title STREAMLINES CONCENTRATION AND APPLICATION TO THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Author Eric Foxall, Slim Ibrahim and Tsuyoshi Yoneda

(Received May 23, 2011, revised June 21, 2011)
Abstract. For a smooth domain containing the origin, we consider a divergence-free vector field and exclude certain types of possible isolated singularities at the origin, based on the geometry of streamlines that go near that possible singular point.

Mathematics Subject Classification. Primary 35Q30; Secondary 76D05, 76M99.
Key words and phrases. Navier-Stokes equations, streamline, Stokes theorem.

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