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Smooth or singular solutions to the Navier--Stokes system ?

Marco Cannone·Grzegorz Karch
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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.

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Marco Cannone, Grzegorz Karch. 2002-10-16. Smooth or singular solutions to the Navier--Stokes system ?. https://arxiv.org/abs/math/0210234

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