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Volumn 62, Issue 4, 2009, Pages 501-564

On the stabilizing effect of convection in three-dimensional incompressible flows

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EID: 68049124905     PISSN: 00103640     EISSN: 00103640     Source Type: Journal    
DOI: 10.1002/cpa.20254     Document Type: Article
Times cited : (94)

References (34)
  • 1
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • Beale, J. T.; Kato, T.; Majda, A. Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Comm. Math. Phys. 94 (1984), no. 1, 61-66.
    • (1984) Comm. Math. Phys. , vol.94 , Issue.1 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 2
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • Caffarelli, L.; Kohn, R.; Nirenberg, L. Partial regularity of suitable weak solutions of the Navier-Stokes equations. Comm. Pure Appl. Math. 35 (1982), no. 6, 771-831.
    • (1982) Comm. Pure Appl. Math. , vol.35 , Issue.6 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 3
    • 36348955539 scopus 로고    scopus 로고
    • Global well-posedness of the three-dimensional primitive equations of large scale ocean and atmosphere dynamics (2)
    • Cao, C.; Titi, E. S. Global well-posedness of the three-dimensional primitive equations of large scale ocean and atmosphere dynamics. Ann. of Math. (2) 166 (2007), no. 1, 245-267.
    • (2007) Ann. of Math. , vol.166 , Issue.1 , pp. 245-267
    • Cao, C.1    Titi, E.S.2
  • 5
    • 49949115307 scopus 로고    scopus 로고
    • Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations
    • Notes 2008. Available online at: arXiv: math.AP/0701796v1
    • Chen, C.-C.; Strain, R. M.; Yau, H.-T.; Tsai, T.-P. Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Int. Math. Res. Notes 2008. Available online at: http://imrn.oxfordjournals.org/cgi/content/refs/2008/rnn016/rnn016. arXiv: math.AP/0701796v1, 2007.
    • (2007) Int. Math. Res.
    • Chen, C.-C.1    Strain, R.M.2    Yau, H.-T.3    Tsai, T.-P.4
  • 6
    • 0001212876 scopus 로고
    • Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
    • Constantin, P. Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations. Comm. Math. Phys. 104 (1986), no. 2, 311-326.
    • (1986) Comm. Math. Phys. , vol.104 , Issue.2 , pp. 311-326
    • Constantin, P.1
  • 8
    • 0006605544 scopus 로고
    • On a one-dimensional model for the three-dimensional vorticity equation
    • De Gregorio, S. On a one-dimensional model for the three-dimensional vorticity equation. J. Statist. Phys. 59 (1990), no. 5-6, 1251-1263.
    • (1990) J. Statist. Phys. , vol.59 , Issue.5-6 , pp. 1251-1263
    • De Gregorio, S.1
  • 9
    • 0030269759 scopus 로고    scopus 로고
    • A partial differential equation arising in a 1D model for the 3D vorticity equation
    • De Gregorio, S. A partial differential equation arising in a 1D model for the 3D vorticity equation. Math. Methods Appl. Sci. 19 (1996), no. 15, 1233-1255.
    • (1996) Math. Methods Appl. Sci. , vol.19 , Issue.15 , pp. 1233-1255
    • De Gregorio, S.1
  • 10
    • 17444395218 scopus 로고    scopus 로고
    • Geometric properties and non-blowup of 3D incompressible Euler flow
    • Deng, J.; Hou, T. Y.; Yu, X. Geometric properties and non-blowup of 3D incompressible Euler flow. Comm. Partial Differential Equations 30 (2005), no. 1-3, 225-243.
    • (2005) Comm. Partial Differential Equations , vol.30 , Issue.1-3 , pp. 225-243
    • Deng, J.1    Hou, T.Y.2    Yu, X.3
  • 11
    • 31744438053 scopus 로고    scopus 로고
    • Improved geometric conditions for non-blowup of the 3D incompressible Euler equation
    • Deng, J.; Hou, T. Y.; Yu, X. Improved geometric conditions for non-blowup of the 3D incompressible Euler equation. Comm. Partial Differential Equations 31 (2006), no. 1-3, 293-306.
    • (2006) Comm. Partial Differential Equations , vol.31 , Issue.1-3 , pp. 293-306
    • Deng, J.1    Hou, T.Y.2    Yu, X.3
  • 13
    • 0042597993 scopus 로고    scopus 로고
    • 3,∞-solutions of Navier-Stokes equations and backward uniqueness
    • (350), translation in Russian Math. Surveys 58 (2003), no. 2, 211-250
    • 3,∞-solutions of Navier-Stokes equations and backward uniqueness. Uspekhi Mat. Nauk 58 (2003), no. 2(350), 3-44; translation in Russian Math. Surveys 58 (2003), no. 2, 211-250.
    • (2003) Uspekhi Mat. Nauk , vol.58 , Issue.2 , pp. 3-44
    • Iskauriaza, L.1    Serëgin, G.A.2    Shverak, V.3
  • 14
    • 84867933671 scopus 로고    scopus 로고
    • Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations
    • Hou, T. Y.; Li, R. Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. J. Nonlinear Sci. 16 (2006), no. 6, 639-664.
    • (2006) J. Nonlinear Sci. , vol.16 , Issue.6 , pp. 639-664
    • Hou, T.Y.1    Li, R.2
  • 15
    • 34548407719 scopus 로고    scopus 로고
    • Computing nearly singular solutions using pseudo-spectral methods
    • Hou, T. Y.; Li, R. Computing nearly singular solutions using pseudo-spectral methods. J. Comput. Phys. 226 (2007), no. 1, 379-397.
    • (2007) J. Comput. Phys. , vol.226 , Issue.1 , pp. 379-397
    • Hou, T.Y.1    Li, R.2
  • 16
    • 68049119214 scopus 로고    scopus 로고
    • On the partial regularity of a 3D model of the Navier-Stokes equations
    • submitted. Available online at
    • Hou, T. Y.; Lei, Z. On the partial regularity of a 3D model of the Navier-Stokes equations. Comm. Math Phys., submitted. Available online at: http://www.acm.caltech.edu/~hou/papers/ModelNS-PR-Final.pdf
    • (1999) Comm. Math Phys.
    • Hou, T.Y.1    Lei, Z.2
  • 18
    • 49949100775 scopus 로고    scopus 로고
    • Dynamic stability of the 3D axi-symmetric Navier-Stokes equations with swirl
    • Hou, T. Y.; Li, C.-M. Dynamic stability of the 3D axi-symmetric Navier-Stokes equations with swirl. Comm. Pure Appl. Math. 61 (2008), no. 5, 661-697.
    • (2008) Comm. Pure Appl. Math. , vol.61 , Issue.5 , pp. 661-697
    • Hou, T.Y.1    Li, C.-M.2
  • 19
    • 0026881063 scopus 로고
    • Convergence of a finite difference scheme for the Navier-Stokes equations using vorticity boundary conditions
    • Hou, T. Y.; Wetton, B. T. R. Convergence of a finite difference scheme for the Navier-Stokes equations using vorticity boundary conditions. SIAM J. Numer. Anal. 29 (1992), no. 3, 615-639.
    • (1992) SIAM J. Numer. Anal. , vol.29 , Issue.3 , pp. 615-639
    • Hou, T.Y.1    Wetton, B.T.R.2
  • 20
    • 0027454950 scopus 로고
    • Evidence for a singularity of the three-dimensional, incompressible Euler equations
    • Kerr, R.M. Evidence for a singularity of the three-dimensional, incompressible Euler equations. Phys. Fluids A 5 (1993), no. 7, 1725-1746.
    • (1993) Phys. Fluids A , vol.5 , Issue.7 , pp. 1725-1746
    • Kerr, R.M.1
  • 22
    • 0034389838 scopus 로고    scopus 로고
    • Bilinear estimates in BMO and the Navier-Stokes equations
    • Kozono, H.; Taniuchi, Y. Bilinear estimates in BMO and the Navier-Stokes equations. Math. Z. 235 (2000), no. 1, 173-194.
    • (2000) Math. Z. , vol.235 , Issue.1 , pp. 173-194
    • Kozono, H.1    Taniuchi, Y.2
  • 24
    • 0032344639 scopus 로고    scopus 로고
    • A new proof of the Caffarelli-Kohn-Nirenberg theorem
    • Lin, F. A new proof of the Caffarelli-Kohn-Nirenberg theorem. Comm. Pure Appl. Math. 51 (1998), no. 3, 241-257.
    • (1998) Comm. Pure Appl. Math. , vol.51 , Issue.3 , pp. 241-257
    • Lin, F.1
  • 25
    • 37849052235 scopus 로고    scopus 로고
    • Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows
    • (electronic)
    • Liu, J.-G.;Wang, W.-C. Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows. SIAM J. Numer. Anal. 44 (2006), no. 6, 2456-2480 (electronic).
    • (2006) SIAM J. Numer. Anal. , vol.44 , Issue.6 , pp. 2456-2480
    • Liu, J.-G.1    Wang, W.-C.2
  • 26
    • 0004259252 scopus 로고    scopus 로고
    • Cambridge Texts in Applied Mathematics 27. Cambridge University, Cambridge, Mass
    • Majda, A. J.; Bertozzi, A. L. Vorticity and incompressible flow. Cambridge Texts in Applied Mathematics, 27. Cambridge University, Cambridge, Mass., 2002.
    • (2002) Vorticity and incompressible flow
    • Majda, A.J.1    Bertozzi, A.L.2
  • 27
    • 27144458223 scopus 로고    scopus 로고
    • On the role of the convection term in the equations of motion of incompressible fluid
    • Okamoto, H.; Ohkitani, K. On the role of the convection term in the equations of motion of incompressible fluid. J. Phys. Soc. Japan 74 (2005), no. 10, 2737-2742.
    • (2005) J. Phys. Soc. Japan , vol.74 , Issue.10 , pp. 2737-2742
    • Okamoto, H.1    Ohkitani, K.2
  • 28
    • 0016004920 scopus 로고
    • Numerical simulation of viscous incompressible flows
    • Available online at
    • Orszag, S. A.; Israeli, M. Numerical simulation of viscous incompressible flows. Ann. Rev. Fluid Mech. 6 (1974), 281-318. Available online at: http://arjournals.annualreviews.org/doi/pdf/10.1146/annurev.fl.06.010174.001433?cookieSet=1
    • (1974) Ann. Rev. Fluid Mech. , vol.6 , pp. 281-318
    • Orszag, S.A.1    Israeli, M.2
  • 29
    • 0001307388 scopus 로고
    • Un teorema di unicità per le equazioni di Navier-Stokes
    • Prodi, G. Un teorema di unicità per le equazioni di Navier-Stokes. Ann. Mat. Pura Appl. (4) 48 (1959), 173-182.
    • (1959) Ann. Mat. Pura Appl. (4) , vol.48 , pp. 173-182
    • Prodi, G.1
  • 30
    • 0000169262 scopus 로고
    • On the interior regularity of weak solutions of the Navier-Stokes equations
    • Serrin, J. On the interior regularity of weak solutions of the Navier-Stokes equations. Arch. Rational Mech. Anal. 9 (1962), 187-195.
    • (1962) Arch. Rational Mech. Anal. , vol.9 , pp. 187-195
    • Serrin, J.1
  • 31
    • 0001807443 scopus 로고
    • The initial value problem for the Navier-Stokes equations
    • University of Wisconsin, Madison, Wis.
    • Serrin, J. The initial value problem for the Navier-Stokes equations. Nonlinear Problems (Proc. Sympos., Madison, Wis.), 69-98. University of Wisconsin, Madison, Wis., 1963.
    • (1963) Nonlinear Problems (Proc. Sympos., Madison, Wis.) , pp. 69-98
    • Serrin, J.1
  • 32
    • 84990553438 scopus 로고
    • On partial regularity results for the Navier-Stokes equations
    • Struwe, M. On partial regularity results for the Navier-Stokes equations. Comm. Pure Appl. Math. 41 (1988), no. 4, 437-458.
    • (1988) Comm. Pure Appl. Math. , vol.41 , Issue.4 , pp. 437-458
    • Struwe, M.1
  • 34
    • 84976008583 scopus 로고
    • The spontaneous generation of the singularity in a separating laminar boundary layer
    • van Dommelen, L. L.; Shen, S. F. The spontaneous generation of the singularity in a separating laminar boundary layer. J. Comput. Phys. 38 (1980), no. 2, 125-140.
    • (1980) J. Comput. Phys. , vol.38 , Issue.2 , pp. 125-140
    • van Dommelen, L.L.1    Shen, S.F.2


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