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Volumn 32, Issue 2, 2004, Pages 1632-1649

Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy

Author keywords

Gaussian invariant measure; Navier Stokes equation; Pathwise uniqueness; Space time white noise

Indexed keywords


EID: 3042543186     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117904000000379     Document Type: Article
Times cited : (42)

References (13)
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  • 2
    • 0036695933 scopus 로고    scopus 로고
    • Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows. The case of Gaussian invariant measures
    • ALBEVERIO, S. and FERRARIO, B. (2002). Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows. The case of Gaussian invariant measures. J. Funct. Anal. 193 77-93.
    • (2002) J. Funct. Anal. , vol.193 , pp. 77-93
    • Albeverio, S.1    Ferrario, B.2
  • 3
    • 3042654449 scopus 로고    scopus 로고
    • Invariant measures of Lévy-Khinchine type for 2D fluids
    • (I. M. Davies, N. Jacob, A. Truman, O. Hassan, K. Morgan and N. P. Weatherill, eds.) World Scientific
    • ALBEVERIO, S. and FERRARIO, B. (2003). Invariant measures of Lévy-Khinchine type for 2D fluids. In Proceedings of the Conference on Probabilistic Methods in Fluids (I. M. Davies, N. Jacob, A. Truman, O. Hassan, K. Morgan and N. P. Weatherill, eds.) 130-143. World Scientific.
    • (2003) Proceedings of the Conference on Probabilistic Methods in Fluids , pp. 130-143
    • Albeverio, S.1    Ferrario, B.2
  • 4
    • 0001323303 scopus 로고
    • Stationary measures for the periodic euler flow in two dimensions
    • ALBEVERIO, S., RIBEIRO DE FARIA, M. and HØEGH-KROHN, R. (1979). Stationary measures for the periodic Euler flow in two dimensions. J. Statist. Phys. 20 585-595.
    • (1979) J. Statist. Phys. , vol.20 , pp. 585-595
    • Albeverio, S.1    Ribeiro De Faria, M.2    Høegh-Krohn, R.3
  • 6
    • 0003553791 scopus 로고    scopus 로고
    • Publication du Laboratoire d'Analyse Numérique R 96023
    • CHEMIN, J.-Y. (1996). About Navier-Stokes system. Publication du Laboratoire d'Analyse Numérique R 96023.
    • (1996) About Navier-Stokes System
    • Chemin, J.-Y.1
  • 8
    • 0033241458 scopus 로고    scopus 로고
    • The two dimensional Euler equation: A statistical study
    • CIPRIANO, F. (1999). The two dimensional Euler equation: A statistical study. Comm. Math. Phys. 201 139-154.
    • (1999) Comm. Math. Phys. , vol.201 , pp. 139-154
    • Cipriano, F.1
  • 9
    • 0036912185 scopus 로고    scopus 로고
    • 2D-Navier-Stokes equations driven by a space-time white noise
    • DA PRATO, G. and DEBUSSCHE, A. (2002). 2D-Navier-Stokes equations driven by a space-time white noise. J. Fund. Anal. 196 180-210.
    • (2002) J. Fund. Anal. , vol.196 , pp. 180-210
    • Da Prato, G.1    Debussche, A.2
  • 11
    • 0037874989 scopus 로고
    • On the closedness of the sum of two closed operators
    • DORE, G. and VENNI, A. (1987). On the closedness of the sum of two closed operators. Math. Z. 196 189-201.
    • (1987) Math. Z. , vol.196 , pp. 189-201
    • Dore, G.1    Venni, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.