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Volumn 13, Issue 4, 2000, Pages 1227-1238

The H1-compact global attractor for the solutions to the Navier-Stokes equations in two-dimensional unbounded domains

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EID: 0034216025     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/4/313     Document Type: Article
Times cited : (46)

References (23)
  • 1
    • 0001029673 scopus 로고
    • Attractor for a Navier-Stokes flow in an unbounded domain
    • Abergel F 1989 Attractor for a Navier-Stokes flow in an unbounded domain Math. Mod. Num. Anal. 23 359-70
    • (1989) Math. Mod. Num. Anal. , vol.23 , pp. 359-370
    • Abergel, F.1
  • 2
    • 38249020894 scopus 로고
    • Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
    • Abergel F 1990 Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains J. Diff. Equ. 83 85-108
    • (1990) J. Diff. Equ. , vol.83 , pp. 85-108
    • Abergel, F.1
  • 3
    • 0002220602 scopus 로고
    • The attractor of a Navier-Stokes system in an unbounded channel-like domain
    • Babin A V 1992 The attractor of a Navier-Stokes system in an unbounded channel-like domain J. Dyn. Differ. Equ. 4 555-84
    • (1992) J. Dyn. Differ. Equ. , vol.4 , pp. 555-584
    • Babin, A.V.1
  • 4
    • 84972273463 scopus 로고
    • Attractors of partial differential equations in an unbounded domain
    • Babin A V and Vishik M I 1990 Attractors of partial differential equations in an unbounded domain Proc. R. Soc. Edin. A 116 221-43
    • (1990) Proc. R. Soc. Edin. A , vol.116 , pp. 221-243
    • Babin, A.V.1    Vishik, M.I.2
  • 7
    • 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 1985 Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractor for the 2D Navier-Stokes equations Commun. Pure Appl. Math. 38 1-27
    • (1985) Commun. Pure Appl. Math. , vol.38 , pp. 1-27
    • Constantin, P.1    Foias, C.2
  • 8
    • 0021150102 scopus 로고
    • Determining modes and fractal dimension of turbulent flows
    • Constantin P, Foias C, Manley O and Temam R 1988 Determining modes and fractal dimension of turbulent flows J. Fluid Mech. 150 427-40
    • (1988) J. Fluid Mech. , vol.150 , pp. 427-440
    • Constantin, P.1    Foias, C.2    Manley, O.3    Temam, R.4
  • 10
    • 0000263117 scopus 로고
    • Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
    • Foias C and Temam R 1979 Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations J. Math. Pures Appl. 58 334-68
    • (1979) J. Math. Pures Appl. , vol.58 , pp. 334-368
    • Foias, C.1    Temam, R.2
  • 11
    • 0001005263 scopus 로고
    • A note on the strong convergence towards the attractors for damped forced KdV equations
    • Ghidaglia J M 1994 A note on the strong convergence towards the attractors for damped forced KdV equations J. Differ. Equ. 110 356-9
    • (1994) J. Differ. Equ. , vol.110 , pp. 356-359
    • Ghidaglia, J.M.1
  • 14
    • 0000509826 scopus 로고
    • The Navier-Stokes equations: On the existence, regularity and decay of solutions
    • Heywood J G 1980 The Navier-Stokes equations: on the existence, regularity and decay of solutions Ind. Univ. Math. J. 29 639-81
    • (1980) Ind. Univ. Math. J. , vol.29 , pp. 639-681
    • Heywood, J.G.1
  • 15
    • 0001989779 scopus 로고
    • On the dynamical system generated by the Navier-Stokes equations
    • Ladyzhenskaya O 1972 On the dynamical system generated by the Navier-Stokes equations Zapiskii of nauchnish seminarovs LOMI 27 91-114 (Engl. transl. 1975 J. Sov. Math. 3 458-79)
    • (1972) Zapiskii of Nauchnish Seminarovs LOMI , vol.27 , pp. 91-114
    • Ladyzhenskaya, O.1
  • 16
    • 34250401659 scopus 로고
    • Ladyzhenskaya O 1972 On the dynamical system generated by the Navier-Stokes equations Zapiskii of nauchnish seminarovs LOMI 27 91-114 (Engl. transl. 1975 J. Sov. Math. 3 458-79)
    • (1975) J. Sov. Math. , vol.3 , pp. 458-479
  • 18
    • 0000518664 scopus 로고
    • First boundary value problem for the Navier-Stokes equations with nonsmooth boundaries
    • Ladyzhenskaya O 1992 First boundary value problem for the Navier-Stokes equations with nonsmooth boundaries C. R. Acad. Sci. Paris I 314 253-8
    • (1992) C. R. Acad. Sci. Paris I , vol.314 , pp. 253-258
    • Ladyzhenskaya, O.1
  • 19
    • 0004263512 scopus 로고    scopus 로고
    • Attractors for non-compact semigroups via energy equations
    • Moiss I, Rosa R and Wang X 1998 Attractors for non-compact semigroups via energy equations Nonlinearity 11 1369-93
    • (1998) Nonlinearity , vol.11 , pp. 1369-1393
    • Moiss, I.1    Rosa, R.2    Wang, X.3
  • 20
    • 0032014991 scopus 로고    scopus 로고
    • The global attractor for the 2D Navier-Stokes flow on some unbounded domains
    • Rosa R 1998 The global attractor for the 2D Navier-Stokes flow on some unbounded domains Nonlinear Anal. 32 71-85
    • (1998) Nonlinear Anal. , vol.32 , pp. 71-85
    • Rosa, R.1
  • 23
    • 0000796224 scopus 로고
    • An energy equation for the weakly damped driven nonlinear Schrödinger equations and its applications to their attractors
    • Wang X 1995 An energy equation for the weakly damped driven nonlinear Schrödinger equations and its applications to their attractors Physica D 88 167-75
    • (1995) Physica D , vol.88 , pp. 167-175
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.