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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Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity
Alexis Vasseur (2009)
Applications of Mathematics
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In this short note we give a link between the regularity of the solution to the 3D Navier-Stokes equation and the behavior of the direction of the velocity . It is shown that the control of in a suitable norm is enough to ensure global regularity. The result is reminiscent of the criterion in terms of the direction of the vorticity, introduced first by Constantin and Fefferman. However, in this case the condition is not on the vorticity but on the velocity itself. The proof, based...