메뉴 건너뛰기




Volumn 13, Issue 1, 1999, Pages 105-110

Finite fractal dimension of the global attractor for a class of non-newtonian fluids

Author keywords

Fractal dimension; Generalized Navier Stokes equations; Global attractor; Non newtonian fluid; Shear dependent viscosity

Indexed keywords


EID: 0009762754     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00152-4     Document Type: Article
Times cited : (13)

References (13)
  • 1
    • 0030594509 scopus 로고    scopus 로고
    • A finite-dimensional attractor for three-dimensional flow of incompressible fluids
    • J. Málek and J. Nečas, A finite-dimensional attractor for three-dimensional flow of incompressible fluids, Journal of Differential Equations 127, 498-518, (1996).
    • (1996) Journal of Differential Equations , vol.127 , pp. 498-518
    • Málek, J.1    Nečas, J.2
  • 2
    • 0003290175 scopus 로고
    • On the dimension of the compact invariant sets of certain non-linear maps
    • R. Mané, On the dimension of the compact invariant sets of certain non-linear maps, Lecture Notes in Mathematics 898, 230-242, (1981).
    • (1981) Lecture Notes in Mathematics , vol.898 , pp. 230-242
    • Mané, R.1
  • 3
    • 0003169927 scopus 로고    scopus 로고
    • Finite fractal dimension and Hölder-lipschitz parametrization
    • C. Foias and E. Olson, Finite fractal dimension and Hölder-Lipschitz parametrization, Indiana Univ. Math. J. 45, 603-616, (1996).
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 603-616
    • Foias, C.1    Olson, E.2
  • 5
    • 0001957739 scopus 로고
    • General circulation model of the atmosphere
    • J.S. Smagorinsky, General circulation model of the atmosphere, Mon. Weather Rev. 91, 99-164, (1963).
    • (1963) Mon. Weather Rev. , vol.91 , pp. 99-164
    • Smagorinsky, J.S.1
  • 7
    • 0003424544 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • nd edition, Springer-Verlag, New York, (1997).
    • (1997) nd Edition
    • Temam, R.1
  • 8
    • 0001226227 scopus 로고
    • On finite dimensionality of bounded invariant sets for the Navier-stokes equations and some other dissipative systems
    • O.A. Ladyzhenskaya, On finite dimensionality of bounded invariant sets for the Navier-Stokes equations and some other dissipative systems, Zap. Nauchn. Sem. LOMI 115, 137-155, (1982).
    • (1982) Zap. Nauchn. Sem. LOMI , vol.115 , pp. 137-155
    • Ladyzhenskaya, O.A.1
  • 9
    • 84990581938 scopus 로고
    • Global Lyapunov exponents, Kaplan-yorke formulas and the dimension for the attractors for two-dimensional Navier-stokes equations
    • P. Constantin and C. Foias, Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension for the attractors for two-dimensional Navier-Stokes equations, Comm. Pure Appl. Math. 38, 1-27, (1985).
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 1-27
    • Constantin, P.1    Foias, C.2
  • 11
    • 84957251972 scopus 로고
    • Young measure-valued solutions for non-newtonian incompressible fluids
    • H. Bellout, F. Bloom and J. Nečas, Young measure-valued solutions for non-Newtonian incompressible fluids, Comm. Partial Differential Equations 19, 1763-1803, (1994).
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 1763-1803
    • Bellout, H.1    Bloom, F.2    Nečas, J.3
  • 13
    • 0009763569 scopus 로고    scopus 로고
    • On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows
    • O.A. Ladyzhenskaya and G. Serëgin, On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows, Amer. Math. Soc. Transl. 164 (2), 99-123.
    • Amer. Math. Soc. Transl. , vol.164 , Issue.2 , pp. 99-123
    • Ladyzhenskaya, O.A.1    Serëgin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.