메뉴 건너뛰기




Volumn 324, Issue 5, 1997, Pages 593-598

Regularity and integrability of rotating shallow-water equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031094006     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80396-6     Document Type: Article
Times cited : (19)

References (20)
  • 1
    • 0010831910 scopus 로고
    • Long-time averaged euler and navier-stokes equations for rotating fluids
    • K. Kirchgässner and A. Mielke (eds), World Scientific
    • [1] Babin A., Mahalov A. and Nicolaenko B, 1995. Long-time averaged Euler and Navier-Stokes equations for rotating fluids, In "Structure and Dynamics oj Nonlinear Waves in Fluids", K. Kirchgässner and A. Mielke (eds), World Scientific, pp. 145-157.
    • (1995) Structure and Dynamics Oj Nonlinear Waves in Fluids , pp. 145-157
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 2
    • 0029695832 scopus 로고    scopus 로고
    • Global splitting, integrability and regularity of 3d euler and navier-stokes equations for uniformly rotating fluids
    • [2] Babin A., Mahalov A. and Nicolaenko B., 1996. Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids, European J. Mechanics B/ Fluids, 15, pp. 291-300.
    • (1996) European J. Mechanics B/ Fluids , vol.15 , pp. 291-300
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 4
    • 0030313282 scopus 로고    scopus 로고
    • Resonances and regularity for boussinesq equations
    • [4] Babin A., Mahalov A. and Nicolaenko B., 1996. Resonances and regularity for Boussinesq equations, Russian J. Math. Phys., 4, no. 4, pp. 417-428.
    • (1996) Russian J. Math. Phys. , vol.4 , Issue.4 , pp. 417-428
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 5
    • 84976137479 scopus 로고
    • The periodic quasigeostrophic equations: Existence and uniqueness of strong solutions
    • [5] Bennet A.F. and Kloeden P.E., 1982. The periodic quasigeostrophic equations: existence and uniqueness of strong solutions, Proc. Roy. Soc. Edinburgh. 91A, pp. 185-203.
    • (1982) Proc. Roy. Soc. Edinburgh. , vol.91 A , pp. 185-203
    • Bennet, A.F.1    Kloeden, P.E.2
  • 6
    • 8144227295 scopus 로고
    • Validity of the quasigeostrophic model for large-scale flow in the atmosphere and the ocean
    • [6] Bourgeois A.J. and Beale J.T., 1994. Validity of the quasigeostrophic model for large-scale flow in the atmosphere and the ocean, SIAM J. Math. Anal., 25. pp. 1023-1068.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1023-1068
    • Bourgeois, A.J.1    Beale, J.T.2
  • 7
    • 0000098281 scopus 로고
    • A propos d'un probleme de pénalisation de type antisymétrique
    • [7] Chemin J.-Y., 1995. A propos d'un probleme de pénalisation de type antisymétrique, Proc. Acad. Sci. Paris, 321, série I, pp. 861-864.
    • (1995) Proc. Acad. Sci. Paris , vol.321 , Issue.1 , pp. 861-864
    • Chemin, J.-Y.1
  • 8
    • 0001755104 scopus 로고    scopus 로고
    • Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity
    • [8] Enibid P.F. and Majda A.J., 1996. Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity, Comm. Partial Differential Equations, 21, pp. 619-658.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 619-658
    • Enibid, P.F.1    Majda, A.J.2
  • 10
    • 0010843121 scopus 로고
    • Rotating fluids and inertial waves
    • [10] Grenier E., 1995. Rotating fluids and inertial waves, Proc. Acad Sci. Paris, 321, série 1, pp. 711-714.
    • (1995) Proc. Acad Sci. Paris , vol.321 , Issue.1 , pp. 711-714
    • Grenier, E.1
  • 11
    • 84974005262 scopus 로고
    • Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves
    • [11] Joly J.L., Métivier G. and Rauch J., 1993. Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves, Duke Math. J., 70, pp. 373-404.
    • (1993) Duke Math. J. , vol.70 , pp. 373-404
    • Joly, J.L.1    Métivier, G.2    Rauch, J.3
  • 12
    • 0001139342 scopus 로고
    • Global existence of classical solutions in the dissipative shallow-water equations
    • [12] Kloeden P.E., 1985. Global existence of classical solutions in the dissipative shallow-water equations, SIAM J. Math. Anal., 16, No. 2, pp. 301-315.
    • (1985) SIAM J. Math. Anal. , vol.16 , Issue.2 , pp. 301-315
    • Kloeden, P.E.1
  • 13
    • 0019193825 scopus 로고
    • Turbulent phase shift of rossby waves
    • [13] Legras B., 1980. Turbulent phase shift of Rossby waves, Geophys. Astrophys. Fluid Dynamics, 15, pp. 253-281.
    • (1980) Geophys. Astrophys. Fluid Dynamics , vol.15 , pp. 253-281
    • Legras, B.1
  • 14
    • 0000063960 scopus 로고
    • Geostrophic asymptotics of the primitive equations of the atmosphere
    • [14] Lions J.L., Temam R. and Wang S., 1994. Geostrophic asymptotics of the primitive equations of the atmosphere,Topol. Methods in Nonlinear Anal., 4, pp. 253-287, special issue dedicated to J. Leray.
    • (1994) Topol. Methods in Nonlinear Anal. , vol.4 , pp. 253-287
    • Lions, J.L.1    Temam, R.2    Wang, S.3
  • 15
    • 0000370302 scopus 로고
    • Long time averaged rotating shallow-water equations
    • W.H. Hui, Y.-K. Kwok and J.R. Chasnov
    • [15] Mahalov A. and Marcus P.S., 1995. Long time averaged rotating shallow-water equations, in Proc. of the First Asian Computational Fluid Dynamics Conference, eds. W.H. Hui, Y.-K. Kwok and J.R. Chasnov, vol. 3, pp. 1227-1230, Hong Kong University of Science and Technology.
    • (1995) Proc. of the First Asian Computational Fluid Dynamics Conference, Eds. , vol.3 , pp. 1227-1230
    • Mahalov, A.1    Marcus, P.S.2
  • 17
    • 0000918413 scopus 로고
    • Sur la précession des corps déformables
    • [17] Poincaré H., 1910. Sur la précession des corps déformables, Bull. Astronomique, 27, pp. 321-356.
    • (1910) Bull. Astronomique , vol.27 , pp. 321-356
    • Poincaré, H.1
  • 18
    • 38249033919 scopus 로고
    • Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation
    • [18] Schochet S.H., 1987. Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation, J. Differential Equations, 68, pp. 400-428.
    • (1987) J. Differential Equations , vol.68 , pp. 400-428
    • Schochet, S.H.1
  • 19
    • 43949155251 scopus 로고
    • Fast singular limits of hyperbolic pde's
    • [19] Schochet S.H., 1994. Fast singular limits of hyperbolic PDE's, J. Differential Equations, 114, pp. 476-512.
    • (1994) J. Differential Equations , vol.114 , pp. 476-512
    • Schochet, S.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.