메뉴 건너뛰기




Volumn 156, Issue 3, 2001, Pages 241-273

A variational approach for the 2-dimensional semi-geostrophic shallow water equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035585521     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050000124     Document Type: Article
Times cited : (59)

References (19)
  • 1
    • 0040865632 scopus 로고
    • PhD Dissertation. Université de Paris IX
    • J. D. BENAMOU. PhD Dissertation. Université de Paris IX, 1992.
    • (1992)
    • Benamou, J.D.1
  • 2
    • 84990623199 scopus 로고
    • Polar factorization and monotone rearrangement of vector-valued functions
    • Y. BRENIER. Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math., 44, 375-417, 1991.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 375-417
    • Brenier, Y.1
  • 3
    • 0032187452 scopus 로고    scopus 로고
    • Weak existence for the semi-geostrophic equations formulated as a coupled Monge-Ampère equations/transport problem
    • J. D. BENAMOU & Y. BRENIER. Weak existence for the semi-geostrophic equations formulated as a coupled Monge-Ampère equations/transport problem. SIAM J. Appl. Ana. Math. 58, no 5, 1450-1461, 1998.
    • (1998) SIAM J. Appl. Ana. Math. , vol.58 , Issue.5 , pp. 1450-1461
    • Benamou, J.D.1    Brenier, Y.2
  • 4
    • 0028581723 scopus 로고
    • A semi-geostrophic ocean model with outeropping
    • P. CLOKE & M. J. P. CULLEN. A semi-geostrophic ocean model with outeropping . Dyn. Atmos. Oceans, 21, 23-48, 1994.
    • (1994) Dyn. Atmos. Oceans , vol.21 , pp. 23-48
    • Cloke, P.1    Cullen, M.J.P.2
  • 5
    • 0021641025 scopus 로고
    • An extended lagrangian theory of semi-geostrophic frontogenesis
    • M. J. P. CULLEN & R. J. PURSER. An extended Lagrangian theory of semi-geostrophic frontogenesis. J. Atmosph. Sciences 41, 1477-1497, 1984.
    • (1984) J. Atmosph. Sciences , vol.41 , pp. 1477-1497
    • Cullen, M.J.P.1    Purser, R.J.2
  • 6
    • 0024799742 scopus 로고
    • Properties of the lagrangian semi-geostrophic equations
    • M. J. P. CULLEN & R. J. PURSER. Properties of the Lagrangian semi-geostrophic equations. J. Atmosph. Sciences vol 40, 17, 2684-2697, 1989.
    • (1989) J. Atmosph. Sciences , vol.40 , Issue.17 , pp. 2684-2697
    • Cullen, M.J.P.1    Purser, R.J.2
  • 7
    • 0027446023 scopus 로고
    • A geometric model of the nonlinear equilibration of two- dimensional Eady waves
    • M. J. P. CULLEM & I. ROULSTONE. A geometric model of the nonlinear equilibration of two- dimensional Eady waves. J. Atmos. Sci. 50, 328-332, 1993.
    • (1993) J. Atmos. Sci. , vol.50 , pp. 328-332
    • Cullem, M.J.P.1    Roulstone, I.2
  • 8
    • 0037683306 scopus 로고
    • Parcel stability and its relation to semigeostrophic theory
    • M. J. P. CULLEN & G. J. SHUTTS. Parcel stability and its relation to semigeostrophic theory. J. Atmos. Sci. 44, 1318-1330, 1987.
    • (1987) J. Atmos. Sci. , vol.44 , pp. 1318-1330
    • Cullen, M.J.P.1    Shutts, G.J.2
  • 9
    • 0003198915 scopus 로고
    • The quasi-static equations of motion
    • A. ELIASSEN. The quasi-static equations of motion. Geofys. Publ. 17, No 3, 1948.
    • (1948) Geofys. Publ. , vol.17 , Issue.3
    • Eliassen, A.1
  • 10
    • 0003073688 scopus 로고    scopus 로고
    • Partial differential equations and Monge-Kantorovich mass transfer
    • L. C. EVANS. Partial differential equations and Monge-Kantorovich mass transfer. Int. Press, Current Dev. Math, 26, 26-78, 1997.
    • (1997) Int. Press, Current Dev. Math , vol.26 , pp. 26-78
    • Evans, L.C.1
  • 12
    • 0001103156 scopus 로고    scopus 로고
    • The geometry of optimal transportation
    • W. GANGBO & R. J. MCCANN. The geometry of optimal transportation. Acta Math. 177, 113-161, 1996.
    • (1996) Acta Math. , vol.177 , pp. 113-161
    • Gangbo, W.1    McCann, R.J.2
  • 13
    • 0016473695 scopus 로고
    • The geostrophic momentum approximation and the semi-geostrophic equations
    • B. J. HOSKINS. The geostrophic momentum approximation and the semi-geostrophic equations. J. Atmosph. Sciences 32, 233-242, 1975.
    • (1975) J. Atmosph. Sciences , vol.32 , pp. 233-242
    • Hoskins, B.J.1
  • 14
    • 0000485730 scopus 로고
    • Duality theorems for marginal problems
    • H. G. KELLERER. Duality theorems for marginal problems. Z. Wahrsch. Verw. Gebiete 67, 399-432, 1984.
    • (1984) Z. Wahrsch. Verw. Gebiete , vol.67 , pp. 399-432
    • Kellerer, H.G.1
  • 15
    • 0039087369 scopus 로고    scopus 로고
    • private communication
    • F. OTTO. private communication.
    • Otto, F.1
  • 19
    • 0004267646 scopus 로고
    • Princeton: Princeton University Press
    • R. T. ROCKAFELLAR. Convex Analysis. Princeton: Princeton University Press, 1972.
    • (1972) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.