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New regularity criterion for the Navier-Stokes equations
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We study the incompressible Navier-stokes equations in the entire three-dimensional space, We prove that if [tntlr] where [tntlr] then the solution is regular.
Abstract
We study the incompressible Navier-stokes equations in the entire three-dimensional space, We prove that if [tntlr] where [tntlr] then the solution is regular.
참고문헌 (17)
- J.Leray, "Etude de diverses equations integrates nonlineaires et quelque problemes que pose 1'hydrodynamique", J. Math. Pures Appl, 12, pp.1~82 (1933)
- J.Leray, "Essai sur les mouvements plans d'un liquide visqueux que lim- itent des parois", J. Math. Pures Appl., 13, pp.331~418 (1934)
- J.Leray, "Sur le mouvement d'un liquide visqueux emplissant l'espace", Acta Math., 63, pp.193~248 (1934)
- J.Serrin, "On the interior regularity of weak solutions of the Navier-stokes equations", Arch.Ration.Mech.Anal., 9, pp.187~195 (1962)
- J.Serrin, "The initial value problem for the Navier -Stokes equa- tions in Nonlinear Problems", pp.69~98 (1963), University of Wisconsin Press
- L.Escauriaza, "On backward uniqueness for parabolic equations", Zap.Nauch.Seminarov POMI, 282, pp.100~103 (2002)
- Beiro da Veiga H, "Concerning the regularity problem for the solution of the Navier-stokes equations", C.R.Acad.Sci.Paris I Math, 321, pp.405~408 (1995)
- Beiro da Veiga H, "A new regularity class for the Navier-Stokes equations", Rn Chin.Ann.Math., B16, pp.407~412 (1995)
- C.L.Berselli, "Regularity criterion involving the pressure for weak solutions to the Navier-Stokes equations", Dipartimento di Matematica Applicata,Universit di Pisa, ~
- Cheng He, "Regularity for solutions to the Navier-Stokes equations with one velocity component regular", Electronic Journal of Differential Equations, (29), pp.1~13 (2002)
- Y. Zhou, "A new regularity criterion for weak solutions to the Navier- Stokes equations", J. Math. Pures Appl., 84, pp.1496~1514 (2005)
- Kukavica I, "One component regularity for Navier-Stokes equations", Institute of Physics Publishing, Nonlinearity, 19, pp.453~469 (2006)
- Milan Pokorný, "On the result of He concerning the smoothness of solutions to the Navier-Stokes equations", Electronic Journal of Differential, (11), pp.1~8 (2003)
- Y.Zhou, "A new regularity result for the Navier-Stokes equations in terms of the gradient of one velocity component", Methods Appl.Anal., 9, pp.563~578 (2002)
- Patrick Penel, "Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity", Appl.Math., 49, pp.483~493 (2004)
- Kukavica I, "Navier-Stokes equations with regularity in one direction", J. Math. Phys., 48 (2007)
- D. Chae, "Regularity criterion in terms of pressure for the Navier- Stokes equations", Nonlinear Anal.Ser. A: Theory Methods, 46(5), pp.727~735 (2001)
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