Abstract
Consider the nonstationary Navier-Stokes equations on an exterior domain in IR3. Under suitable assumptions on the initial value and the external force we prove the existence of a global, suitable weak solution satisfying a weighted energy inequality with weight functions |x|α,0≤α≤1. This weak solution is constructed using the Yosida approximation procedure, Lg-theory and localized energy inequalities as int,roduced by Caffarelli, Kohn and Nirenberg [3].
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