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

Xiang′ou Zhu

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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

Date: 2012
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https://doi.org/10.1155/2012/682436

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