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Smooth or singular solutions to the Navier-Stokes system

Abstract : The existence of singular solutions of the incompressible Navier-Stokes system with singular external forces, the existence of regular solutions for more regular forces as well as the asymptotic stability of small solutions (including stationary ones), and a pointwise loss of smoothness for solutions are proved in the same function space of pseudomeasure type. (C) 2003 Elsevier Inc. All rights reserved.
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Marco Cannone, G Karch. Smooth or singular solutions to the Navier-Stokes system. Journal of Differential Equations, Elsevier, 2004, 197 (2), pp.247--274. ⟨10.1016/j.jde.2003.10.003⟩. ⟨hal-00694263⟩



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