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On the best
conditions on the gradient of pressure for uniqueness of
viscous flows in the whole space
Giovanni P. Galdi and Salvatore Rionero |
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Vol. 104 (1983), No. 1, 77–83
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Abstract |
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In this paper we prove a uniqueness theorem for the Cauchy problem of the Navier-Stokes equations under the assumption on the gradient of pressure ∇p that it either belongs to some Lq space for some q ∈ (1,∞) or tends to zero at large spatial distances. As shown by means of a counterexample, in the class where uniqueness is proven the above hypotheses cannot be relaxed to ∇p only bounded. |
Mathematical Subject Classification 2000
Primary: 35Q10, 35Q10
Secondary: 76D05
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Milestones
Received: 9 July 1980
Published: 1 January 1983
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Authors |
| Giovanni P. Galdi | |
| Salvatore Rionero | |
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