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Volumn 21, Issue 10, 2008, Pages 2447-2461

On a generalization of the Constantin-Lax-Majda equation

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EID: 56349084704     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/21/10/013     Document Type: Article
Times cited : (116)

References (19)
  • 2
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3D Euler equations
    • Beale J T, Kato T and Majda A 1984 Remarks on the breakdown of smooth solutions for the 3D Euler equations Commun. Math. Phys. 94 61
    • (1984) Commun. Math. Phys. , vol.94 , Issue.1 , pp. 61
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 3
    • 16244382542 scopus 로고    scopus 로고
    • Finite time singularities in a 1D model of the quasi-geostrophic equation
    • Chae D, Córdoba A, Córdoba D and Fontelos M A 2005 Finite time singularities in a 1D model of the quasi-geostrophic equation Adv. Math. 194 203
    • (2005) Adv. Math. , vol.194 , Issue.1 , pp. 203
    • Chae, D.1    Córdoba, A.2    Córdoba, D.3    Fontelos, M.A.4
  • 4
    • 33751328809 scopus 로고    scopus 로고
    • Integral inequalities for the Hilbert transform applied to a nonlocal transport equation
    • Córdoba A, Córdoba D and Fontelos M A 2006 Integral inequalities for the Hilbert transform applied to a nonlocal transport equation J. Math. Pures Appl. 86 529
    • (2006) J. Math. Pures Appl. , vol.86 , Issue.6 , pp. 529
    • Córdoba, A.1    Córdoba, D.2    Fontelos, M.A.3
  • 5
    • 33745899606 scopus 로고    scopus 로고
    • Formation of singularities for a transport equation with nonlocal velocity
    • Córdoba A, Córdoba D and Fontelos M A 2005 Formation of singularities for a transport equation with nonlocal velocity Ann. Math. 162 1377
    • (2005) Ann. Math. , vol.162 , pp. 1377
    • Córdoba, A.1    Córdoba, D.2    Fontelos, M.A.3
  • 6
    • 84990556249 scopus 로고
    • A simple one-dimensional model for the three-dimensional vorticity equation
    • Constantin P, Lax P D and Majda A J 1985 A simple one-dimensional model for the three-dimensional vorticity equation Commun. Pure Appl. Math. 38 715
    • (1985) Commun. Pure Appl. Math. , vol.38 , Issue.6 , pp. 715
    • Constantin, P.1    Lax, P.D.2    Majda, A.J.3
  • 7
    • 0006605544 scopus 로고
    • On a one-dimensional model for the three-dimensional vorticity equation
    • De Gregorio S 1990 On a one-dimensional model for the three-dimensional vorticity equation J. Stat. Phys. 59 1251
    • (1990) J. Stat. Phys. , vol.59 , Issue.5-6 , pp. 1251
    • De Gregorio, S.1
  • 8
    • 0030269759 scopus 로고    scopus 로고
    • A partial differential equation arising in a 1D model for the 3D vorticity equation
    • De Gregorio S 1996 A partial differential equation arising in a 1D model for the 3D vorticity equation Math. Methods Appl. Sci. 19 1233
    • (1996) Math. Methods Appl. Sci. , vol.19 , Issue.15 , pp. 1233
    • De Gregorio, S.1
  • 9
    • 68049124905 scopus 로고    scopus 로고
    • On the stabilizing effect of convection in three-dimensional incompressible flows
    • Hou T Y and Lei Z 2008 On the stabilizing effect of convection in three-dimensional incompressible flows Commun. Pure. Appl. Math. at press, doi:10.1002/cpa.20254
    • (2008) Commun. Pure. Appl. Math.
    • Hou, T.Y.1    Lei, Z.2
  • 10
    • 0003134154 scopus 로고
    • Nonlinear evolution equations and the Euler flow
    • Kato T and Lai C Y 1984 Nonlinear evolution equations and the Euler flow J. Funct. Anal. 56 15
    • (1984) J. Funct. Anal. , vol.56 , Issue.1 , pp. 15
    • Kato, T.1    Lai, C.Y.2
  • 12
    • 0022735928 scopus 로고
    • A study of singularity formation in a vortex sheet by the point-vortex approximation
    • Krasny R 1986 A study of singularity formation in a vortex sheet by the point-vortex approximation J. Fluid Mech. 167 65
    • (1986) J. Fluid Mech. , vol.167 , pp. 65
    • Krasny, R.1
  • 14
    • 0038902238 scopus 로고    scopus 로고
    • Further properties of a continuum of model equations with globally defined flux
    • Morlet A C 1998 Further properties of a continuum of model equations with globally defined flux J. Math. Anal. Appl. 221 132
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.1 , pp. 132
    • Morlet, A.C.1
  • 15
    • 61349157348 scopus 로고    scopus 로고
    • Well-posedness of the generalized Proudman-Johnson equation without viscosity
    • Okamoto H Well-posedness of the generalized Proudman-Johnson equation without viscosity J. Math. Fluid Mech. at press, doi:10.1007/s00021-007-0247-9
    • J. Math. Fluid Mech.
    • Okamoto, H.1
  • 16
    • 27144458223 scopus 로고    scopus 로고
    • On the role of the convection term in the equations of motion of incompressible fluid
    • Okamoto H and Ohkitani K 2005 On the role of the convection term in the equations of motion of incompressible fluid J. Phys. Soc. Japan 74 2737
    • (2005) J. Phys. Soc. Japan , vol.74 , Issue.10 , pp. 2737
    • Okamoto, H.1    Ohkitani, K.2
  • 17
    • 0002628126 scopus 로고    scopus 로고
    • Some similarity solutions of the Navier-Stokes equations and related topics
    • Okamoto H and Zhu J 2000 Some similarity solutions of the Navier-Stokes equations and related topics Taiwanese J. Math. 4 65
    • (2000) Taiwanese J. Math. , vol.4 , pp. 65
    • Okamoto, H.1    Zhu, J.2
  • 18
    • 56349106596 scopus 로고    scopus 로고
    • Numerical study of de Gregorio's model for the 3D vorticity equation
    • Sato H and Sakajo T 2006 Numerical study of De Gregorio's model for the 3D vorticity equation Trans. Japan SIAM 16 221 (in Japanese)
    • (2006) Trans. Japan SIAM , vol.16 , pp. 221
    • Sato, H.1    Sakajo, T.2


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