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Volumn 115, Issue 1-2, 2004, Pages 469-492

The Eulerian limit for 2D statistical hydrodynamics

Author keywords

2D Euler equation; 2D Navier Stokes equation; 2D turbulence; Invariant measure; Random force; Reynolds number; Stationary measure; White noise

Indexed keywords


EID: 3543124205     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000019830.64243.a2     Document Type: Article
Times cited : (63)

References (27)
  • 1
    • 0036025910 scopus 로고    scopus 로고
    • Exponential mixing for the 2D stochastic Navier-Stokes dynamics
    • J. Bricmont, A. Kupiainen, and R. Lefevere, Exponential mixing for the 2D stochastic Navier-Stokes dynamics, Comm. Math. Phys. 230:87-132 (2002).
    • (2002) Comm. Math. Phys. , vol.230 , pp. 87-132
    • Bricmont, J.1    Kupiainen, A.2    Lefevere, R.3
  • 2
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smoothness for the 3-D Euler equations
    • J. Beale, T. Kato, and A. Majda, Remarks on the breakdown of smoothness for the 3-D Euler equations, Comm. Math. Phys. 94:61-66 (1984).
    • (1984) Comm. Math. Phys. , vol.94 , pp. 61-66
    • Beale, J.1    Kato, T.2    Majda, A.3
  • 6
    • 0035534238 scopus 로고    scopus 로고
    • Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise
    • J.-P. Eckmann and M. Hairer, Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise, Comm. Math. Phys. 219:523-565 (2001).
    • (2001) Comm. Math. Phys. , vol.219 , pp. 523-565
    • Eckmann, J.-P.1    Hairer, M.2
  • 7
    • 0035516434 scopus 로고    scopus 로고
    • Ergodicity for the Navier-Stokes equation with degenerate random forcing: Finite dimensional approximation
    • W. E and J. C. Mattingly, Ergodicity for the Navier-Stokes equation with degenerate random forcing: Finite dimensional approximation, Comm. Pure Appl. Math. 54: 1386-1402 (2001).
    • (2001) Comm. Pure Appl. Math. , vol.54 , pp. 1386-1402
    • Mattingly, J.C.1
  • 8
    • 0035639506 scopus 로고    scopus 로고
    • Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation
    • W. E, J. C. Mattingly, and Ya. G. Sinai, Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation, Comm. Math. Phys. 224:83-106 (2001).
    • (2001) Comm. Math. Phys. , vol.224 , pp. 83-106
    • Mattingly, J.C.1    Sinai, Ya.G.2
  • 13
    • 36849114603 scopus 로고
    • Inertial ranges in two-dimensional turbulence
    • R. H. Kraichnan, Inertial ranges in two-dimensional turbulence, Phys. Fluids 10: 1417-1423 (1967).
    • (1967) Phys. Fluids , vol.10 , pp. 1417-1423
    • Kraichnan, R.H.1
  • 14
    • 0034349965 scopus 로고    scopus 로고
    • Stochastic dissipative PDE's and Gibbs measures
    • S. B. Kuksin and A. Shirikyan, Stochastic dissipative PDE's and Gibbs measures, Comm. Math. Phys. 213:291-330 (2000).
    • (2000) Comm. Math. Phys. , vol.213 , pp. 291-330
    • Kuksin, S.B.1    Shirikyan, A.2
  • 15
    • 0035536788 scopus 로고    scopus 로고
    • A coupling approach to randomly forced nonlinear PDE's
    • S. B. Kuksin and A. Shirikyan, A coupling approach to randomly forced nonlinear PDE's, Comm. Math. Phys. 221:351-366 (2001).
    • (2001) Comm. Math. Phys. , vol.221 , pp. 351-366
    • Kuksin, S.B.1    Shirikyan, A.2
  • 16
    • 0036095320 scopus 로고    scopus 로고
    • Coupling approach to white-forced nonlinear PDE's
    • S. B. Kuksin and A. Shirikyan, Coupling approach to white-forced nonlinear PDE's, J. Math. Pures Appl. 81:567-602 (2002).
    • (2002) J. Math. Pures Appl. , vol.81 , pp. 567-602
    • Kuksin, S.B.1    Shirikyan, A.2
  • 17
    • 0036600055 scopus 로고    scopus 로고
    • Ergodic theorems for 2D statistical hydrodynamics
    • S. B. Kuksin, Ergodic theorems for 2D statistical hydrodynamics, Rev. Math. Phys. 14: 585-600 (2002).
    • (2002) Rev. Math. Phys. , vol.14 , pp. 585-600
    • Kuksin, S.B.1
  • 19
    • 0036026973 scopus 로고    scopus 로고
    • Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
    • J. Mattingly, Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics, Comm. Math. Phys. 230:421-462 (2002).
    • (2002) Comm. Math. Phys. , vol.230 , pp. 421-462
    • Mattingly, J.1
  • 20
    • 0035998069 scopus 로고    scopus 로고
    • Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDE's
    • N. Masmoudi and L.-S. Young, Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDE's, Comm. Math. Phys.:461-481 (2002).
    • (2002) Comm. Math. Phys. , pp. 461-481
    • Masmoudi, N.1    Young, L.-S.2
  • 21
    • 51249192666 scopus 로고
    • Statistical hydrodynamics
    • L. Onsager, Statistical hydrodynamics, Nuovo Cimento Suppl. 6:279-287 (1949); also in The Collected Works of Lars Onsager (World Scientific, 1996).
    • (1949) Nuovo Cimento Suppl. , vol.6 , pp. 279-287
    • Onsager, L.1
  • 22
    • 0012774235 scopus 로고    scopus 로고
    • World Scientific
    • L. Onsager, Statistical hydrodynamics, Nuovo Cimento Suppl. 6:279-287 (1949); also in The Collected Works of Lars Onsager (World Scientific, 1996).
    • (1996) The Collected Works of Lars Onsager
  • 23
    • 0026202960 scopus 로고
    • Statistical equilibrium states for two-dimensional flows
    • R. Robert and J. Sommeria, Statistical equilibrium states for two-dimensional flows, J. Fluid Mech. 229:291-310 (1994).
    • (1994) J. Fluid Mech. , vol.229 , pp. 291-310
    • Robert, R.1    Sommeria, J.2
  • 24
    • 0036664245 scopus 로고    scopus 로고
    • Analyticity of solutions for randomly forced two-dimensional Navier-Stokes equations
    • A. Shirikyan, Analyticity of solutions for randomly forced two-dimensional Navier-Stokes equations, Russian Math. Surveys 57:785-799 (2002).
    • (2002) Russian Math. Surveys , vol.57 , pp. 785-799
    • Shirikyan, A.1
  • 26
    • 0033472885 scopus 로고    scopus 로고
    • Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type
    • M. M. Vishik, Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type, Ann. Sci. École Norm. Sup. 36:769-812 (1999).
    • (1999) Ann. Sci. École Norm. Sup. , vol.36 , pp. 769-812
    • Vishik, M.M.1
  • 27
    • 0001751564 scopus 로고
    • Non stationary flow of an ideal incompressible fluid
    • in Russian
    • V. I. Yudovich, Non stationary flow of an ideal incompressible fluid, Zh. Vych. Mat. 3:1032-1066 (1963) [in Russian].
    • (1963) Zh. Vych. Mat. , vol.3 , pp. 1032-1066
    • Yudovich, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.