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Volumn 1999, Issue , 1999, Pages 1-19

Global regularity of the Navier-Stokes equation on thin three-dimensional domains with periodic boundary conditions

Author keywords

Navier Stokes equation; Thin domain

Indexed keywords


EID: 0001788529     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (32)

References (13)
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  • 4
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    • Les équations de Navier-Stokes 3D vues comme une perturbation des équations de Navier-Stokes 2D
    • I1 French
    • I1 Iftimie, Dragoş Les équations de Navier-Stokes 3D vues comme une perturbation des équations de Navier-Stokes 2D. (French) [The 3D Navier-Stokes equations seen as a perturbation of the 2D Navier-Stokes equations] C. R. Acad. Sci. Paris Sér. I Math. 324 (1997), no. 3, 271-274.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , Issue.3 , pp. 271-274
    • Iftimie, D.1
  • 6
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    • Asymptotic analysis of the Navier-Stokes equations in thin domains. Dedicated to Olga Ladyzhenskaya
    • MTZ
    • MTZ Moise, I.; Temam, R.; Ziane, M. Asymptotic analysis of the Navier-Stokes equations in thin domains. Dedicated to Olga Ladyzhenskaya. Topol. Methods Nonlinear Anal. 10 (1997), no. 2, 249-282.
    • (1997) Topol. Methods Nonlinear Anal. , vol.10 , Issue.2 , pp. 249-282
    • Moise, I.1    Temam, R.2    Ziane, M.3
  • 7
    • 84968467415 scopus 로고
    • Navier-Stokes equations on thin 3D domains. I. Global attractors and global regularity of solutions
    • RS1
    • RS1 Raugel, Geneviève; Sell, George R. Navier-Stokes equations on thin 3D domains. I. Global attractors and global regularity of solutions. J. Amer. Math. Soc. 6 (1993), no. 3, 503-568.
    • (1993) J. Amer. Math. Soc. , vol.6 , Issue.3 , pp. 503-568
    • Raugel, G.1    Sell, G.R.2
  • 8
    • 0007043884 scopus 로고
    • Navier-Stokes equations on thin 3D domains. II. Global regularity of spatially periodic solutions
    • RS2 Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XI (Paris, 1989-1991). Longman Sci. Tech., Harlow
    • RS2 Raugel, G.; Sell, G. R. Navier-Stokes equations on thin 3D domains. II. Global regularity of spatially periodic solutions. Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XI (Paris, 1989-1991), 205-247, Pitman Res. Notes Math. Ser., 299, Longman Sci. Tech., Harlow, 1994.
    • (1994) Pitman Res. Notes Math. Ser. , vol.299 , pp. 205-247
    • Raugel, G.1    Sell, G.R.2
  • 9
    • 0012877087 scopus 로고
    • Navier-Stokes equations in thin 3D domains. III. Existence of a global attractor
    • RS3 Turbulence in fluid flows, Springer, New York
    • RS3 Raugel, Genevie-ve; Sell, George R. Navier-Stokes equations in thin 3D domains. III. Existence of a global attractor. Turbulence in fluid flows, 137-163, IMA Vol. Math. Appl., 55, Springer, New York, 1993.
    • (1993) IMA Vol. Math. Appl. , vol.55 , pp. 137-163
    • Raugel, G.1    Sell, G.R.2
  • 10
    • 0003799686 scopus 로고
    • Singular integrals and differentiability properties of functions
    • S Princeton University Press, Princeton, N.J.
    • S Stein, Elias M. Singular integrals and differentiability properties of functions. Princeton Mathematical Series, No. 30 Princeton University Press, Princeton, N.J. 1970.
    • (1970) Princeton Mathematical Series, No. 30
    • Stein, E.M.1
  • 11
    • 0003278399 scopus 로고    scopus 로고
    • Infinite-dimensional dynamical systems in mechanics and physics
    • T Second edition. Springer-Verlag, New York
    • T Temam, Roger Infinite-dimensional dynamical systems in mechanics and physics. Second edition. Applied Mathematical Sciences, 68. Springer-Verlag, New York, 1997.
    • (1997) Applied Mathematical Sciences , pp. 68
    • Temam, R.1
  • 12
    • 0000502277 scopus 로고    scopus 로고
    • Navier-Stokes equations in three-dimensional thin domains with various boundary conditions
    • TZ1
    • TZ1 Temam, R.; Ziane, M. Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Adv. Differential Equations 1 (1996), no. 4, 499-546.
    • (1996) Adv. Differential Equations , vol.1 , Issue.4 , pp. 499-546
    • Temam, R.1    Ziane, M.2
  • 13
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    • Navier-Stokes equations in thin spherical domains
    • TZ2 Optimization methods in partial differential equations (South Hadley, MA), Amer. Math. Soc., Providence, RI
    • TZ2 Temam, R.; Ziane, M. Navier-Stokes equations in thin spherical domains. Optimization methods in partial differential equations (South Hadley, MA, 1996), 281-314, Contemp. Math., 209, Amer. Math. Soc., Providence, RI, 1997.
    • (1996) Contemp. Math. , vol.209 , pp. 281-314
    • Temam, R.1    Ziane, M.2


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