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Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations

David Cheban·Jinqiao Duan
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Abstract

The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors. This problem is formulated and solved in the terms of general non-autonomous dynamical systems. Second, they have obtained conditions of convergence of non-autonomous Navier-Stokes equations. Third, a criterion for the existence of almost periodic (quasi periodic,almost automorphic, recurrent, pseudo recurrent) solutions of non-autonomous Navier-Stokes equations is given. Finally, the authors have derived a global averaging principle for non-autonomous Navier-Stokes equations.

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David Cheban, Jinqiao Duan. 2004-09-13. Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations. https://doi.org/10.1023/b:jody.0000041279.25095.8a

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