Galerkin approximation and the strong solution of the Navier-Stokes equation.
Breckner, Hannelore (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “On evolution inequalities of a modified Navier-Stokes type. I”
Galerkin approximation and the strong solution of the Navier-Stokes equation.
Some new existence results for the variable density Navier-Stokes equations
Enrique Fernández-Cara, Francisco Guillén (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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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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.