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arxiv: math/0210234 · v1 · submitted 2002-10-16 · 🧮 math.AP

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

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keywords solutionssingularexistenceforcesregularsystemasymptoticexternal
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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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