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Volumn 38, Issue 6, 1997, Pages 3031-3045

Statistical solutions of the Navier-Stokes equations on the phase space of vorticity and the inviscid limits

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EID: 0031495979     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532032     Document Type: Article
Times cited : (22)

References (13)
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  • 2
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    • Statistical study of the Navier-Stokes equations
    • C. Foias, "Statistical study of the Navier-Stokes equations," Sem. Math. Univ. Padova 48, 219-343 (1972); 49, 9-123 (1973).
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    • (1973) Sem. Math. Univ. Padova , vol.49 , pp. 9-123
  • 5
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    • Non-stationary flow of an ideal incompressible liquid
    • V. I. Yudovich, "Non-stationary flow of an ideal incompressible liquid," Zh. Vych. Mat. 3, 1032-1066 (1963).
    • (1963) Zh. Vych. Mat. , vol.3 , pp. 1032-1066
    • Yudovich, V.I.1
  • 6
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    • Statistical mechanics of Euler equations in two dimensions
    • J. Miller, "Statistical mechanics of Euler equations in two dimensions," Phys. Rev. Lett. 65, 2137-2140 (1990).
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 2137-2140
    • Miller, J.1
  • 7
    • 33645540554 scopus 로고
    • A maximum-entropy principle for two dimensional perfect fluid dynamics
    • R. Robert, "A maximum-entropy principle for two dimensional perfect fluid dynamics," J. Stat. Phys. 65, 531-551 (1991).
    • (1991) J. Stat. Phys. , vol.65 , pp. 531-551
    • Robert, R.1
  • 8
    • 0000514910 scopus 로고
    • Inviscid limit for vortex patches
    • P. Constantin and J. Wu, "Inviscid limit for vortex patches," Nonlinearity 8, 735-742 (1995).
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    • Constantin, P.1    Wu, J.2
  • 9
    • 0001924577 scopus 로고    scopus 로고
    • The inviscid limit for non-smooth vorticity
    • P. Constantin and J. Wu, "The inviscid limit for non-smooth vorticity," Indiana Univ. Math. J. 45, 67-81 (1996).
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 67-81
    • Constantin, P.1    Wu, J.2
  • 10
    • 21844500356 scopus 로고
    • Global solutions of 2-D Navier-Stokes and Euler equations
    • M. Ben-Artzi, "Global solutions of 2-D Navier-Stokes and Euler equations," Arch. Rat. Mech. Anal. 128, 329-358 (1994).
    • (1994) Arch. Rat. Mech. Anal. , vol.128 , pp. 329-358
    • Ben-Artzi, M.1
  • 11
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    • Remarks on the preceding paper by M. Ben-Artzi 'Global solutions of two dimensional Navier-Stokes and Euler equations'
    • H. Brezis, "Remarks on the preceding paper by M. Ben-Artzi 'Global solutions of two dimensional Navier-Stokes and Euler equations'," Arch. Rat. Mech. Anal. 128, 359-360 (1994).
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    • The vanishing viscosity limit of statistical solutions of the Navier-Stokes equations I. 2-D periodic case
    • D. Chae, "The vanishing viscosity limit of statistical solutions of the Navier-Stokes equations I. 2-D periodic case," J. Math. Anal. Appl. 155, 437-459 (1991).
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    • Chae, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.