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Volumn 32, Issue 1, 1998, Pages 71-85

The global attractor for the 2D navier-stokes flow on some unbounded domains

Author keywords

Attractor dimension; Global attractor; Navier Stokes equations; Unbounded domains; Weak dissipation

Indexed keywords

ASYMPTOTIC STABILITY; ESTIMATION; INITIAL VALUE PROBLEMS; PROBLEM SOLVING; REYNOLDS NUMBER; THEOREM PROVING;

EID: 0032014991     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00453-7     Document Type: Article
Times cited : (186)

References (26)
  • 1
    • 0001989779 scopus 로고
    • On the dynamical system generated by the Navier-Stokes equations
    • Ladyzhenskaya, O., On the dynamical system generated by the Navier-Stokes equations. Zapiskii of nauchnish seminarovs LOMI, 1972, 27, 91-114; English translation in J. of Soviet Math., 1975, 3(4).
    • (1972) Zapiskii of Nauchnish Seminarovs LOMI , vol.27 , pp. 91-114
    • Ladyzhenskaya, O.1
  • 2
    • 0043061221 scopus 로고
    • English translation
    • Ladyzhenskaya, O., On the dynamical system generated by the Navier-Stokes equations. Zapiskii of nauchnish seminarovs LOMI, 1972, 27, 91-114; English translation in J. of Soviet Math., 1975, 3(4).
    • (1975) J. of Soviet Math. , vol.3 , Issue.4
  • 3
    • 0000263117 scopus 로고
    • Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
    • Foias, C. and Temam, R., Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations. J. Math. Pures et Appl., 1979, 58, 334-368.
    • (1979) J. Math. Pures et Appl. , vol.58 , pp. 334-368
    • Foias, C.1    Temam, R.2
  • 4
    • 84990581938 scopus 로고
    • Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractor for the 2D Navier-Stokes equations
    • Constantin, P. and Foias, C., Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractor for the 2D Navier-Stokes equations. Comm. Pure Appl. Math., 1985, XXXVIII, 1-27.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 1-27
    • Constantin, P.1    Foias, C.2
  • 5
    • 0021150102 scopus 로고
    • Determining modes and fractal dimension of turbulent flows
    • Constantin, P., Foias, C., Manley, O. and Temam, R., Determining modes and fractal dimension of turbulent flows. J. Fluid Mech., 1988, 150, 427-440.
    • (1988) J. Fluid Mech. , vol.150 , pp. 427-440
    • Constantin, P.1    Foias, C.2    Manley, O.3    Temam, R.4
  • 7
    • 0001029673 scopus 로고
    • Attractors for a Navier-Stokes flow in an unbounded domain
    • Abergel, F., Attractors for a Navier-Stokes flow in an unbounded domain. Math. Mod. and Num. Anal., 1989, 23(3), 359-370.
    • (1989) Math. Mod. and Num. Anal. , vol.23 , Issue.3 , pp. 359-370
    • Abergel, F.1
  • 8
    • 0002220602 scopus 로고
    • The attractor of a Navier-Stokes system in an unbounded channel-like domain
    • Babin, A. V., The attractor of a Navier-Stokes system in an unbounded channel-like domain. J. Dynamics and Diff. Eqs., 1992, 4(4), 555-584.
    • (1992) J. Dynamics and Diff. Eqs. , vol.4 , Issue.4 , pp. 555-584
    • Babin, A.V.1
  • 9
    • 38249020894 scopus 로고
    • Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
    • Abergel, F., Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains. J. Diff. Equations, 1990, 83(1), 85-108.
    • (1990) J. Diff. Equations , vol.83 , Issue.1 , pp. 85-108
    • Abergel, F.1
  • 10
    • 0000518664 scopus 로고
    • First boundary value problem for the Navier-Stokes equations in domains with nonsmooth boundaries
    • Ladyzhenskaya, O., First boundary value problem for the Navier-Stokes equations in domains with nonsmooth boundaries. C. R. Acad. Sci. Paris, Serie I, 1992, 314, 253-258.
    • (1992) C. R. Acad. Sci. Paris, Serie I , vol.314 , pp. 253-258
    • Ladyzhenskaya, O.1
  • 11
    • 84972273463 scopus 로고
    • Attractors of partial differential equations in an unbounded domain
    • Babin, A. V. and Vishik, M. I., Attractors of partial differential equations in an unbounded domain. Proc. Roy. Soc. Edinburgh, 1990, 116A, 221-243.
    • (1990) Proc. Roy. Soc. Edinburgh , vol.116 A , pp. 221-243
    • Babin, A.V.1    Vishik, M.I.2
  • 14
    • 0002627286 scopus 로고
    • Asymptotic behavior and dynamics in infinite dimensions
    • eds. J. K. Hale and P. Martínez-Amores, Pitman, New York
    • Hale, J. K., Asymptotic behavior and dynamics in infinite dimensions. In Research Notes in Mathematics, eds. J. K. Hale and P. Martínez-Amores, Vol. 132. Pitman, New York, 1985, pp. 1-420.
    • (1985) Research Notes in Mathematics , vol.132 , pp. 1-420
    • Hale, J.K.1
  • 17
    • 0001005263 scopus 로고
    • A note on the strong convergence towards the attractors for damped forced KdV equations
    • Ghidaglia, J. M., A note on the strong convergence towards the attractors for damped forced KdV equations. J. Diff. Equations, 1994, 110, 356-359.
    • (1994) J. Diff. Equations , vol.110 , pp. 356-359
    • Ghidaglia, J.M.1
  • 18
    • 0000796224 scopus 로고
    • An energy equation for the weakly damped driven nonlinear schrödinger equations and its applications to their attractors
    • Wang, X., An energy equation for the weakly damped driven nonlinear Schrödinger equations and its applications to their attractors. Physica D, 1995, 88, 167-175.
    • (1995) Physica D , vol.88 , pp. 167-175
    • Wang, X.1
  • 20
    • 0000122159 scopus 로고    scopus 로고
    • Navier-Stokes equation-theory and approximation
    • Elsevier, North-Holland (to appear)
    • Marion, M. and Temam, R., Navier-Stokes equation-theory and approximation. Handbook of Numerical Analysis., Vol. 6, Elsevier, North-Holland (to appear).
    • Handbook of Numerical Analysis. , vol.6
    • Marion, M.1    Temam, R.2
  • 21
    • 0003300957 scopus 로고
    • Navier-Stokes equations and nonlinear functional analysis
    • SIAM, Philadelphia, 2nd edition
    • Temam, R., Navier-Stokes equations and nonlinear functional analysis. In CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 66, SIAM, Philadelphia, 1983 (2nd edition, 1995).
    • (1983) CBMS-NSF Regional Conference Series in Applied Mathematics , vol.66
    • Temam, R.1
  • 23
    • 0000160580 scopus 로고
    • Attractors for damped nonlinear hyperbolic equations
    • Ghidaglia, J. M. and Temam, R., Attractors for damped nonlinear hyperbolic equations. J. Math. Pures Appl., 1987, 66, 273-319.
    • (1987) J. Math. Pures Appl. , vol.66 , pp. 273-319
    • Ghidaglia, J.M.1    Temam, R.2
  • 24
    • 84972521483 scopus 로고
    • Generalizations of the Sobolev-Lieb-Thirring inequalities and application to the dimension of the attractor
    • Ghidaglia, J. M., Marion, M. and Temam, R., Generalizations of the Sobolev-Lieb-Thirring inequalities and application to the dimension of the attractor. Differential and Integral Equations, 1988, 1, 1-21.
    • (1988) Differential and Integral Equations , vol.1 , pp. 1-21
    • Ghidaglia, J.M.1    Marion, M.2    Temam, R.3
  • 25
    • 43949090723 scopus 로고
    • Infinite dimensional dynamical systems in fluid mechanics
    • Nonlinear Functional Analysis and its Applications, ed. F. Browder, American Mathematical Society
    • Temam, R., Infinite dimensional dynamical systems in fluid mechanics. In Nonlinear Functional Analysis and its Applications, ed. F. Browder, Vol. 45 of Proceedings of Symposia in Pure Mathematics. American Mathematical Society, 1986, pp. 413-445.
    • (1986) Proceedings of Symposia in Pure Mathematics , vol.45 , pp. 413-445
    • Temam, R.1
  • 26
    • 0001766450 scopus 로고
    • Valeurs propres d'opérateaurs définis par la restriction de systèmes variationelles a des sous-espaces
    • Métivier, G., Valeurs propres d'opérateaurs définis par la restriction de systèmes variationelles a des sous-espaces. J. Math. Pures Appl., 1978, 57, 133-156.
    • (1978) J. Math. Pures Appl. , vol.57 , pp. 133-156
    • Métivier, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.