Geodesic
Stability estimate for strong solutions of the Navier-Stokes system and its applications
Electronic Journal of Differential Equations, Tome 1998 (1998).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We obtain a `stability estimate' for strong solutions of the Navier-Stokes system, which is an $L^\alpha$-version, $1 less than \alpha less than \infty$, of the estimate that Serrin [Se] used in obtaining uniqueness of weak solutions to the Navier-Stokes system. By applying this estimate, we obtain new results in stability and uniqueness of solutions, and non-blowup conditions for strong solutions.
Classification : 35Q30, 76D05
Keywords: Navier-Stokes system, strong solutions, stability, uniqueness, non-blowup condition 
@article{EJDE_1998__1998__a33,
     author = {Kawanago, Tadashi},
     title = {Stability estimate for strong solutions of the {Navier-Stokes} system and its applications},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a33/}
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Kawanago, Tadashi. Stability estimate for strong solutions of the Navier-Stokes system and its applications. Electronic Journal of Differential Equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a33/