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On a remark of J. Leray regarding the construction of singular solutions of the Navier-Stokes equations

J Necas,M Ruzicka,V Sverak

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE（1996）

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Abstract
We prove that the system of equations describing the (hypothetical) self-similar singular solutions of the three-dimensional Navier-Stokes equations has no non-trivial solutions belonging to L(3)(R(3)).
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