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.
Beirão da Veiga, H. (1997)
Portugaliae Mathematica
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Jiří Neustupa, Milan Pokorný (2001)
Mathematica Bohemica
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We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.
Chae, Dongho, Choe, Hi-Jun (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Eduard Feireisl (2002)
Mathematica Bohemica
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This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.