The normal form of the Navier-Stokes equations in suitable normed spaces
Ciprian Foias, Luan Hoang, Eric Olson, Mohammed Ziane (2009)
Annales de l'I.H.P. Analyse non linéaire
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Ciprian Foias, Luan Hoang, Eric Olson, Mohammed Ziane (2009)
Annales de l'I.H.P. Analyse non linéaire
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Jean-Yves Chemin, Isabelle Gallagher (2009)
Annales de l'I.H.P. Analyse non linéaire
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Stefano Bosia, Monica Conti, Vittorino Pata (2014)
Open Mathematics
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The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.
Saut, J.C. (1982)
Portugaliae mathematica
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Lingyu Jiang, Yidong Wang (2010)
Czechoslovak Mathematical Journal
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Motivated by [10], we prove that the upper bound of the density function controls the finite time blow up of the classical solutions to the 2-D compressible isentropic Navier-Stokes equations. This result generalizes the corresponding result in [3] concerning the regularities to the weak solutions of the 2-D compressible Navier-Stokes equations in the periodic domain.