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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Displaying similar documents to “On backward-time behavior of the solutions to the 2-D space periodic Navier–Stokes equations”
The normal form of the Navier-Stokes equations in suitable normed spaces
Wellposedness and stability results for the Navier-Stokes equations in
Jean-Yves Chemin, Isabelle Gallagher (2009)
Annales de l'I.H.P. Analyse non linéaire
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A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
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.
Asymptotic behavior, as , of solutions of Navier-Stokes equations
Saut, J.C. (1982)
Portugaliae mathematica
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On the blow up criterion for the 2-D compressible Navier-Stokes equations
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.
Conditions implying regularity of the three dimensional Navier-Stokes equation
Stephen Montgomery-Smith (2005)
Applications of Mathematics
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We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam.