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REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES 被引量:1

REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES
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摘要 In this note, we prove that Xr (0 〈 r 〈 1) norm of the vorticity controls the blow-up phenomena of strong solutions to the Navier-Stokes equations in R3. In this note, we prove that Xr (0 〈 r 〈 1) norm of the vorticity controls the blow-up phenomena of strong solutions to the Navier-Stokes equations in R3.
作者 Sadek Gala
出处 《Acta Mathematica Scientia》 SCIE CSCD 2010年第5期1413-1418,共6页 数学物理学报(B辑英文版)
关键词 Navier-Stokes equation blow-up criterion a priori estimates Navier-Stokes equation blow-up criterion a priori estimates
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