A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces

A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces

We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to L2/(2−r)((0,T);ℳ(H˙r(ℝ3)→H˙−r(ℝ3))), where ℳ(H˙r(ℝ3)→H˙−r(ℝ3)) is the multipliers between Sobolev spaces whose definition is giv...

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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (1), p.387-393-527
1. Verfasser: Zhu, Xiang'ou
Format: Artikel
Sprache:eng
Schlagworte:
Navier-Stokes equations
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Zusammenfassung:We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to L2/(2−r)((0,T);ℳ(H˙r(ℝ3)→H˙−r(ℝ3))), where ℳ(H˙r(ℝ3)→H˙−r(ℝ3)) is the multipliers between Sobolev spaces whose definition is given later for 0
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/682436