Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations
Skalák, Zdeněk
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 619-639 / Harvested from Czech Digital Mathematics Library
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In the context of suitable weak solutions to the Navier-Stokes equations we present local conditions of Prodi-Serrin's type on velocity ${\bold v}$ and pressure $p$ under which $({\bold x}_0,t_0)\in \Omega \times (0,T)$ is a regular point of ${\bold v}$. The conditions are imposed exclusively on the outside of a sufficiently narrow space-time paraboloid with the vertex $({\bold x}_0,t_0)$ and the axis parallel with the $t$-axis.

Publié le : 2002-01-01
Classification:  35B65,  35Q10,  35Q30,  76D05 
@article{119352,
     author = {Zden\v ek Skal\'ak},
     title = {Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {619-639},
     zbl = {1090.35148},
     mrnumber = {2045785},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119352}
}

Skalák, Zdeněk. Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 619-639. http://gdmltest.u-ga.fr/item/119352/

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