Estimates of perturbed Oseen semigroups and their applications to the Navier-Stokes system in ℝ
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| Authors: | L I Sazonov |
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| Institution: | 1. Southern Federal University, Rostov-on-Don Southern Mathematical Institute of the Vladikavkaz Scientific Center, Russian Academy of Sciences, and of the Government of the Republic of Northern Ossetia-Alaniya, Vladikavkaz, Russia
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| Abstract: | For perturbed Oseen semigroups in ? n , we establish their power L p ? L q estimates. These estimates are used to prove the existence of small global solutions to perturbed nonlinear Oseen systems and also of estimates of their L p -norms as t → ∞. |
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