Regularity of solutions to the Navier-Stokes equation.
Chae, Dongho, Choe, Hi-Jun (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient”
Regularity of solutions to the Navier-Stokes equation.
Conditions implying regularity of the three dimensional Navier-Stokes equation
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.
Remarks on the smoothness of the solutions of the 3-D Navier-Stokes equations.
Beirão da Veiga, H. (1997)
Portugaliae Mathematica
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Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
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.
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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