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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Montgomery-Smith, Stephen (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Patrick Penel, Milan Pokorný (2004)
Applications of Mathematics
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We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
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.
Elva Ortega-Torres, Marko Rojas-Medar (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Fan, Jishan, Ozawa, Tohru (2008)
Journal of Inequalities and Applications [electronic only]
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Luo, Yuwen (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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