On backward-time behavior of the solutions to the 2-D space periodic Navier–Stokes equations
Radu Dascaliuc (2005)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “The normal form of the Navier-Stokes equations in suitable normed spaces”
On backward-time behavior of the solutions to the 2-D space periodic Navier–Stokes equations
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.
Stokes and Navier–Stokes equations with nonhomogeneous boundary conditions
J.-P. Raymond (2007)
Annales de l'I.H.P. Analyse non linéaire
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A note on the generalized energy inequality in the Navier-Stokes equations
Petr Kučera, Zdeněk Skalák (2003)
Applications of Mathematics
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We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.