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Inertial manifolds for the 3D modified-Leray-$alpha$ model with periodic boundary conditions

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 نشر من قبل Anna Kostianko
 تاريخ النشر 2015
  مجال البحث
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 تأليف Anna Kostianko




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The existence of an inertial manifold for the modified Leray-$alpha$ model with periodic boundary conditions in three-dimensional space is proved by using the so-called spatial averaging principle. Moreover, an adaptation of the Perron method for constructing inertial manifolds in the particular case of zero spatial averaging is suggested.

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