Uniqueness of weak solutions of the Navier-Stokes equations |
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| Authors: | Sadek Gala |
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| Affiliation: | (1) Department of Mathematics, University of Mostaganem, Box 227, Mostaganem, (27000), Algeria |
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| Abstract: | Consider the Navier-Stokes equation with the initial data a ∈ L σ 2(ℝ d ). Let u and v be two weak solutions with the same initial value a. If u satisfies the usual energy inequality and if ∇v ∈ L 2((0, T);  (ℝ d ) d ) where  (ℝ d ) is the multiplier space, then we have u = v. |
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| Keywords: | Navier-Stokes equations solution uniqueness weak Leray-Hopf solution multiplier space |
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