메뉴 건너뛰기




Volumn 51, Issue 4, 2002, Pages 905-930

Vanishing viscosity limit and long-time behavior for 2d quasi-geostrophic equations

Author keywords

Attractors; Quasi geostrophic and Euler equations; Vanishing viscosity

Indexed keywords


EID: 4544330532     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2002.51.2075     Document Type: Review
Times cited : (31)

References (20)
  • 1
    • 0001253082 scopus 로고
    • Existence et unicite de la solution de l'equation d'Euler en dimension deux
    • C. BARDOS, Existence et unicite de la solution de l'equation d'Euler en dimension deux, J.Math. Anal. Appl. 40 (1972), 769-790.
    • (1972) J.Math. Anal. Appl , vol.40 , pp. 769-790
    • Bardos, C.1
  • 3
    • 0004152738 scopus 로고
    • Nonautonomous evolution equations and their attractors
    • V.V. CHEPYZHOV & M.I. VISHIK, Nonautonomous evolution equations and their attractors, Russian J. Math. Phys. 1 (1993), 165-190.
    • (1993) Russian J. Math. Phys , vol.1 , pp. 165-190
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 4
    • 0033419179 scopus 로고    scopus 로고
    • Behavior of solution of 2D quasi-geostrophic equations
    • electronic
    • P. CONSTANTIN & J. WU, Behavior of solution of 2D quasi-geostrophic equations, SIAM J. Math. Anal. 30 (1999), no. 5, 937-954 (electronic).
    • (1999) SIAM J. Math. Anal , vol.30 , Issue.5 , pp. 937-954
    • Constantin, P.1    Wu, J.2
  • 6
    • 0043172071 scopus 로고
    • Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
    • P. CONSTANTIN, A.J. MAJDA & E. TABAK, Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar, Nonlinearity 7 (1994), 1495-1533.
    • (1994) Nonlinearity , vol.7 , pp. 1495-1533
    • Constantin, P.1    Majda, A.J.2    Tabak, E.3
  • 8
    • 0000863080 scopus 로고
    • Oscillations and concentrations in weak solutions of the incompressible fluid equations
    • R.J. DIPERNA & A.J. MAJDA, Oscillations and concentrations in weak solutions of the incompressible fluid equations, Comm. Math. Phys. 108 (1987), 667-689
    • (1987) Comm. Math. Phys , vol.108 , pp. 667-689
    • Diperna, R.J.1    Majda, A.J.2
  • 9
    • 0002449201 scopus 로고
    • Sur le comportement global des solutions non-stationnaires des equations de Navier-Stokes en dimension 2
    • C. FOIAS & G. PRODI, Sur le comportement global des solutions non-stationnaires des equations de Navier-Stokes en dimension 2, Rend. Sem. Mat. Univ. Padova 39 (1967), 1-34.
    • (1967) Rend. Sem. Mat. Univ. Padova , vol.39 , pp. 1-34
    • Foias, C.1    Prodi, G.2
  • 10
    • 0039945440 scopus 로고
    • The connection between the Navier-Stokes equations, dynamical systems, and turbulence theory
    • Madison,WI, 1985, Academic Press, Boston, MA
    • C. FOIAS & R. TEMAM, The connection between the Navier-Stokes equations, dynamical systems, and turbulence theory, Directions in partial differential equations (Madison,WI, 1985), Academic Press, Boston, MA, 1987, pp. 55-73.
    • (1987) Directions in Partial Differential Equations , pp. 55-73
    • Foias, C.1    Temam, R.2
  • 11
    • 0032366877 scopus 로고    scopus 로고
    • Attractors for families of processes in weak topologies of Banach spaces
    • F. GAZZOLA & M. SARDELLA, Attractors for families of processes in weak topologies of Banach spaces, Discrete Contin. Dynam. Systems 4 (1998), 455-466.
    • (1998) Discrete Contin. Dynam. Systems , vol.4 , pp. 455-466
    • Gazzola, F.1    Sardella, M.2
  • 12
    • 0000616385 scopus 로고
    • Weakly damped forced Korteweg-de Vries equations behave as a finitedimensional dynamical system in the long time
    • J.-M. GHIDAGLIA, Weakly damped forced Korteweg-de Vries equations behave as a finitedimensional dynamical system in the long time, J. Differential Equations 74 (1988), 369-390.
    • (1988) J. Differential Equations , vol.74 , pp. 369-390
    • Ghidaglia, J.-M.1
  • 13
    • 49649144319 scopus 로고
    • Nonstationary flows of viscous and ideal fluids in R3
    • T. KATO, Nonstationary flows of viscous and ideal fluids in R3, J. Functional Analysis 9 (1972), 296-305.
    • (1972) J. Functional Analysis , vol.9 , pp. 296-305
    • Kato, T.1
  • 16
    • 0002456303 scopus 로고    scopus 로고
    • Global attractors for the three-dimensional Navier-Stokes equations
    • G.R. SELL, Global attractors for the three-dimensional Navier-Stokes equations, J. Dynam. Differential Equations 8 (1996), 1-33.
    • (1996) J. Dynam. Differential Equations , vol.8 , pp. 1-33
    • Sell, G.R.1
  • 18
    • 3342881923 scopus 로고    scopus 로고
    • Quasi-geostrophic type equations with weak initial data
    • electronic
    • J. WU, Quasi-geostrophic type equations with weak initial data, Electron. J. Differential Equations 1998, 10 pp. (electronic).
    • (1998) Electron. J. Differential Equations , pp. 10
    • Wu, J.1
  • 19
    • 0001139624 scopus 로고    scopus 로고
    • Quasi-geostrophic-type equations with initial data in Morrey spaces
    • -, Quasi-geostrophic-type equations with initial data in Morrey spaces, Nonlinearity 10 (1997), 1409-1420.
    • (1997) Nonlinearity , vol.10 , pp. 1409-1420
    • Wu, J.1
  • 20
    • 0000601689 scopus 로고    scopus 로고
    • Inviscid limits and regularity estimates for the solutions of the 2-D dissipative quasigeostrophic equations
    • -, Inviscid limits and regularity estimates for the solutions of the 2-D dissipative quasigeostrophic equations, Indiana Univ. Math. J. 46 (1997), 1113-1124.
    • (1997) Indiana Univ. Math. J , vol.46 , pp. 1113-1124
    • Wu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.