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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.29 No.1
- 발행연도
- 2019.1
- 수록면
- 39 - 58 (20page)
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We study the fractal and Hausdor dimensions of the global attractor for the three-dimensional Navier-Stokes- model for fast ro- tating geophysical uids. The Navier-Stokes- model is a nonlinear dispersive regularization of the exact Navier-Stokes equations obtained by Lagrangian averaging and tend to the Navier-Stokes equations as ! 0+. We estimate upper bounds for the dimensions of the global attractor and study the dependence of the dimensions on the parameter . All the estimates are uniform in , and our estimates of attractor dimensions remain nite when ! 0+.
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참고문헌 (10)
참고문헌 신청
Babin, A. / 1997 / Regularity and Integrability of 3D Euler and Navier-Stokes Equations for Rotating Fluids / J. Asympt. Anal. 15:103~150
Babin, A. / 1999 / Global Regularity of 3D Rotating Navier-Stokes Equations for Resonant Domains / Indiana Univ. Math. J. 48:1133~1176
Jean-Yves Chemin / 2006 / Mathematical Geophysics: An introduction to rotating uids and the Navier-Stokes equations / Oxford University Press
P. Constantin / 1985 / Determining modes and fractal dimension of turbulent ows / Journal of Fluid Mechanics 150:427~440
O. U. Velasco Fuentes / 2009 / Kelvin's discovery of Taylor columns / European Journal of Mechanics B/Fluids 28:469~472
Babin, A. / 1999 / Global Regularity of 3D Rotating Navier-Stokes Equations for Resonant Domains / Indiana Univ. Math. J. 48:1133~1176
Jean-Yves Chemin / 2006 / Mathematical Geophysics: An introduction to rotating uids and the Navier-Stokes equations / Oxford University Press
P. Constantin / 1985 / Determining modes and fractal dimension of turbulent ows / Journal of Fluid Mechanics 150:427~440
O. U. Velasco Fuentes / 2009 / Kelvin's discovery of Taylor columns / European Journal of Mechanics B/Fluids 28:469~472
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