Jamel Benameur, Lotfi Jlali
Abstract:
In this article, we study the long time decay of global solution to
3D incompressible Navier-Stokes equations. We prove
that if
is a global solution, where
is the Sobolev-Gevrey
spaces with parameters a>0 and
,
then
decays to zero as time approaches
infinity. Our technique is based on Fourier analysis.
Submitted February 2, 2016. Published April 21, 2016.
Math Subject Classifications: 35Q30, 35D35.
Key Words: Navier-Stokes Equation; critical spaces; long time decay.
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Jamel Benameur Institut Supérieur des Sciences Appliquées et de Technologie de Gabès Université de Gabès, Tunisia email: jamelbenameur@gmail.com | |
Lotfi Jlali Faculté de Sciences Mathématiques, Physiques et Naturelles de Tunis Université de Tunis El Manar, Tunisia email: lotfihocin@gmail.com |
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