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1
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0023121161
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Nonlinear stability of inviscid flows in three dimensions: Incompressible fluids and Barotropic fluids
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H.D.I. Abarbanel and D.D. Holm, Nonlinear stability of inviscid flows in three dimensions: Incompressible fluids and Barotropic fluids, Phys. Fluids 30 (1987) 3369-3382.
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(1987)
Phys. Fluids
, vol.30
, pp. 3369-3382
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Abarbanel, H.D.I.1
Holm, D.D.2
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2
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0000309797
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Nonlinear stability analysis of stratified ideal fluid equilibria
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H.D.I. Abarbanel, D.D. Holm, J.E. Marsden and T. Ratiu, Nonlinear stability analysis of stratified ideal fluid equilibria, Phil. Trans. Roy. Soc. (London) Ser. A 318 (1986) 349-409.
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(1986)
Phil. Trans. Roy. Soc. (London) Ser. A
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Abarbanel, H.D.I.1
Holm, D.D.2
Marsden, J.E.3
Ratiu, T.4
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3
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0013389030
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Balance equations based on momentum equations with global invariants of potential enstrophy and energy
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J.S. Allen, Balance equations based on momentum equations with global invariants of potential enstrophy and energy, J. Phys. Oceanogr. 21 (1991) 265-276.
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(1991)
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Allen, J.S.1
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4
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0025156489
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On intermediate models for barotropic continental shelf and slope flow fields. Part I: Formulation and comparison of exact solutions
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J.S. Allen, J.A. Barth and P.A. Newberger, On intermediate models for barotropic continental shelf and slope flow fields. Part I: Formulation and comparison of exact solutions, J. Phys. Oceanogr. 20 (1990) 1017-1042.
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Allen, J.S.1
Barth, J.A.2
Newberger, P.A.3
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5
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0025097810
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On intermediate models for barotropic continental shelf and slope flow fields. Part III: Comparison of numerical model solutions in periodic channels
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J.S. Allen, J.A. Barth and P.A. Newberger, On intermediate models for barotropic continental shelf and slope flow fields. Part III: Comparison of numerical model solutions in periodic channels, J. Phys. Oceanogr. 20 (1990) 1949-1973.
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, pp. 1949-1973
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Allen, J.S.1
Barth, J.A.2
Newberger, P.A.3
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6
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0000031875
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Extended-geostrophic Hamiltonian models for rotating shallow water motion
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these Proceedings
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J.S. Allen and D.D. Holm, Extended-geostrophic Hamiltonian models for rotating shallow water motion, Physica D 98 (1996) 229-248, these Proceedings.
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(1996)
Physica D
, vol.98
, pp. 229-248
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Allen, J.S.1
Holm, D.D.2
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7
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0027790715
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On intermediate models for stratified flow
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J.S. Allen and P.A. Newberger, On intermediate models for stratified flow, J. Phys. Oceanogr. 23 (1993) 2462-2486.
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(1993)
J. Phys. Oceanogr.
, vol.23
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Allen, J.S.1
Newberger, P.A.2
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8
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0025056002
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On intermediate models for barotropic continental shelf and slope flow fields. Part II: Comparison of numerical model solutions in doubly periodic domains
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J.A. Barth, J.S. Allen and P.A. Newberger, On intermediate models for barotropic continental shelf and slope flow fields. Part II: Comparison of numerical model solutions in doubly periodic domains. J. Phys. Oceanogr. 20 (1990) 1044-1076.
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(1990)
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, pp. 1044-1076
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Barth, J.A.1
Allen, J.S.2
Newberger, P.A.3
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9
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38249025310
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An accurate hyperbolic system for approximately hydrostatic and incompressible oceanographic flows
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G.L. Browning, W.R. Holland, H.-O. Kreiss and S.J. Worley, An accurate hyperbolic system for approximately hydrostatic and incompressible oceanographic flows, Dyn. Atm. Oceans 14 (1990) 303-332.
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(1990)
Dyn. Atm. Oceans
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Browning, G.L.1
Holland, W.R.2
Kreiss, H.-O.3
Worley, S.J.4
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10
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0001411667
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Long-time effects of bottom topography in shallow water
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these Proceedings
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R. Camassa, D.D. Holm and C.D. Levermore, Long-time effects of bottom topography in shallow water, Physica D 98 (1996) 258-286, these Proceedings.
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(1996)
Physica D
, vol.98
, pp. 258-286
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Camassa, R.1
Holm, D.D.2
Levermore, C.D.3
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11
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0019392124
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Aspects of variational arguments in the theory of elasticity: Fact and folklore
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D.G.B. Edelen, Aspects of variational arguments in the theory of elasticity: Fact and folklore, Int. J. Eng. Solids Structures 17 (1981) 729-740.
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Int. J. Eng. Solids Structures
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Edelen, D.G.B.1
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12
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0021037838
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Consistent balanced models in bounded and periodic domains
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P.R. Gent and J.C. McWilliams, Consistent balanced models in bounded and periodic domains, Dyn. Atmos. Oceans 7 (1983) 67-93.
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(1983)
Dyn. Atmos. Oceans
, vol.7
, pp. 67-93
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Gent, P.R.1
McWilliams, J.C.2
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13
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0020918902
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Regimes of validity for balanced models
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P.R. Gent and J.C. McWilliams, Regimes of validity for balanced models, Dyn. Atmos. Oceans 7 (1983) 167-183.
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(1983)
Dyn. Atmos. Oceans
, vol.7
, pp. 167-183
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Gent, P.R.1
McWilliams, J.C.2
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14
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0021579370
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Balanced models in isentropic coordinates and the shallow water equations
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P.R. Gent and J.C. McWilliams, Balanced models in isentropic coordinates and the shallow water equations, Tellus 36A (1984) 166-171.
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(1984)
Tellus
, vol.36 A
, pp. 166-171
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Gent, P.R.1
McWilliams, J.C.2
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15
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0028583869
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Scaling analysis of curved fronts: Validity of the balance equations and semigeostrophy
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P.R. Gent, J.C. McWilliams and C. Snyder, Scaling analysis of curved fronts: Validity of the balance equations and semigeostrophy, J. Atmos. Sci. 51 (1994) 160-163.
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(1994)
J. Atmos. Sci.
, vol.51
, pp. 160-163
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Gent, P.R.1
McWilliams, J.C.2
Snyder, C.3
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16
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0020733812
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Poisson brackets and Clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
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D.D. Holm and B.A. Kupershmidt, Poisson brackets and Clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity, Physica D 6 (1983) 347-363.
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(1983)
Physica D
, vol.6
, pp. 347-363
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Holm, D.D.1
Kupershmidt, B.A.2
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17
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1842747781
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Canonical maps between Poisson brackets in Eulerian and Langrangian descriptions of continuum mechanics
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D.D. Holm, B.A. Kupershmidt and C.D. Levermore, Canonical maps between Poisson brackets in Eulerian and Langrangian descriptions of continuum mechanics, Phys. Lett. A98 (1983) 389-395.
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(1983)
Phys. Lett.
, vol.A98
, pp. 389-395
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Holm, D.D.1
Kupershmidt, B.A.2
Levermore, C.D.3
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18
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0002963469
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Lyapunov stability of ideal stratified fluid equilibria in hydrostatic balance
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D.D. Holm and B. Long, Lyapunov stability of ideal stratified fluid equilibria in hydrostatic balance, Nonlinearity 2 (1989) 23-35.
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(1989)
Nonlinearity
, vol.2
, pp. 23-35
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Holm, D.D.1
Long, B.2
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20
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0002245635
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Nonlinear stability of fluid and plasma equilibria
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D.D. Holm, J.E. Marsden, T. Ratiu and A. Weinstein, Nonlinear stability of fluid and plasma equilibria, Phys. Rep. 123 (1985) 1-116.
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(1985)
Phys. Rep.
, vol.123
, pp. 1-116
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Holm, D.D.1
Marsden, J.E.2
Ratiu, T.3
Weinstein, A.4
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21
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0001341590
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Global well-posedness for the lake equations
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these Proceedings
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C.D. Levermore, M. Oliver and E.S. Titi, Global well-posedness for the lake equations, Physica D 98 (1996) 429-509, these Proceedings.
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(1996)
Physica D
, vol.98
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Levermore, C.D.1
Oliver, M.2
Titi, E.S.3
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22
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22244463849
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Global well-posedness for certain shallow water equations with a varying bottom
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submitted
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C.D. Levermore, M. Oliver and E.S. Titi, Global well-posedness for certain shallow water equations with a varying bottom, Ind. J. Math. (1995) submitted.
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Ind. J. Math.
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Levermore, C.D.1
Oliver, M.2
Titi, E.S.3
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23
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0001012248
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Energy and numerical weather prediction
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E.N. Lorenz, Energy and numerical weather prediction, Tellus 12 (1960) 364-373.
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(1960)
Tellus
, vol.12
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Lorenz, E.N.1
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24
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0019193761
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Intermediate models of planetary circulations in the atmosphere and ocean
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J.C. McWilliams and P.R. Gent, Intermediate models of planetary circulations in the atmosphere and ocean, J. Atmos. Sci. 37 (1980) 1657-1678.
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(1980)
J. Atmos. Sci.
, vol.37
, pp. 1657-1678
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McWilliams, J.C.1
Gent, P.R.2
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25
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84963163825
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The evolution of sub-mesoscale coherent vortices on the β-plane
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J.C. McWilliams and P.R. Gent, The evolution of sub-mesoscale coherent vortices on the β-plane, Geophys. Astrophys. Fluid Dyn. 35 (1986) 235-255.
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(1986)
Geophys. Astrophys. Fluid Dyn.
, vol.35
, pp. 235-255
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McWilliams, J.C.1
Gent, P.R.2
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26
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0001026244
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The evolution of balanced, low-mode vortices on the β-plane
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J.C. McWilliams, P.R. Gent and N.J. Norton, The evolution of balanced, low-mode vortices on the β-plane, J. Phys. Oceanogr. 16 (1986) 838-855.
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(1986)
J. Phys. Oceanogr.
, vol.16
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McWilliams, J.C.1
Gent, P.R.2
Norton, N.J.3
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27
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0010875135
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A linear balance model of wind-driven, midlatitude ocean circulation
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J.C. McWilliams, N.J. Norton, P.R. Gent and D.B. Haidvogel, A linear balance model of wind-driven, midlatitude ocean circulation, J. Phys. Oceanogr. 20 (1990) 1349-1378.
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(1990)
J. Phys. Oceanogr.
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McWilliams, J.C.1
Norton, N.J.2
Gent, P.R.3
Haidvogel, D.B.4
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28
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38249039697
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A numerical model of the balance equations in a periodic domain and an example of balanced turbulence
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N.J. Norton, J.C. McWilliams and P.R. Gent, A numerical model of the balance equations in a periodic domain and an example of balanced turbulence, J. Comput. Phys. 67 (1986) 439-471.
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(1986)
J. Comput. Phys.
, vol.67
, pp. 439-471
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Norton, N.J.1
McWilliams, J.C.2
Gent, P.R.3
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29
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0029475047
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On the Hamiltonian formulation of the quasi-hydrostatic equations
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I. Roulstone and S.J. Brice, On the Hamiltonian formulation of the quasi-hydrostatic equations, Q.J.R. Meteorol. Soc 121 (1995) 927-936.
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Q.J.R. Meteorol. Soc
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Roulstone, I.1
Brice, S.J.2
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30
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0020515138
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Practical use of Hamilton's principle
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R. Salmon, Practical use of Hamilton's principle, J. Fluid Mech. 132 (1983) 431-444.
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J. Fluid Mech.
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Salmon, R.1
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31
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0023770258
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Hamiltonian fluid dynamics
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R. Salmon, Hamiltonian fluid dynamics, Ann. Rev. Fluid Mech. 20 (1988) 225-256.
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Ann. Rev. Fluid Mech.
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Salmon, R.1
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32
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0028552428
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Semibalance model - Connection between geostrophic-type and balanced-type intermediate models
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Q. Xu, Semibalance model - connection between geostrophic-type and balanced-type intermediate models, J. Atmos. Sci. 51 (1994) 953-970.
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Xu, Q.1
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