Navier-Stokes equations on unbounded domains with rough initial data

The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.

Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains

Hideo Kozono, Hermann Sohr (1999)

Annales de l'I.H.P. Analyse non linéaire

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Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.

Fan, Jishan, Ozawa, Tohru (2008)

Journal of Inequalities and Applications [electronic only]

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Some remarks on variants of the Navier-Stokes equations

R. H. Dyer, D. E. Edmunds (1971)

Colloquium Mathematicae

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