Smooth or singular solutions to the Navier--Stokes system ?
Analysis of PDEs
2007-05-23 v1
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.
Cite
@article{arxiv.math/0210234,
title = {Smooth or singular solutions to the Navier--Stokes system ?},
author = {Marco Cannone and Grzegorz Karch},
journal= {arXiv preprint arXiv:math/0210234},
year = {2007}
}