|
|||||
|
|
Smooth or singular solutions to the Navier-Stokes system ? |
|
| Authors: | Marco Cannone Grzegorz Karch |
| Affiliation: | a Laboratoire d'Analyse et de Mathématiques Appliquées, Université de Marne-la-Vallée, Cité Descartes 5, bd Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée, Cedex 2, France b Instytut Matematyczny, Uniwersytet Wroc?awski, pl. Grunwaldzki 2/4, 50-384 Wroc?aw, Poland c Mathematical Institute, Polish Academy of Sciences, Warsaw 2002-2003, Poland |
| 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. |
| Keywords: | 35Q30 76D05 35B40 |
| 本文献已被 ScienceDirect 等数据库收录！ | |