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

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

2002-10-16

arxiv.org/abs/math/0210234v1

Mathematics

Analysis of PDEs

Scientific paper

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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