Large-time behavior of the weak solution to 3D Navier-Stokes equations

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Large-time behavior of the weak solution to 3D Navier-Stokes equations

Ramm, Alexander G.
The weak solution to the Navier–Stokes equations in a bounded domain D ⊂ R[superscript 3] with a smooth boundary is proved to be unique provided that it satisfies an additional requirement. This solution exists for all t ≥ 0. In a bounded domain D the solution decays exponentially

fast as t → ∞if the force term decays at a suitable rate

Keywords: Navier-Stokes equations; Weak solution; Uniqueness theorem
Journal: Applied Mathematics Letters, Volume: 26, Issue: 2, Starting Page: 252, Ending Page: 257
Date: 2012
Publisher URL: http://doi.org/10.1016/j.aml.2012.09.003
 
Article (author version)
Record URL: http://hdl.handle.net/2097/14886
 
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This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). Except where otherwise noted, the use of this item is bound by the following: This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

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