메뉴 건너뛰기




Volumn 54, Issue 2, 1996, Pages 187-209

New similarity solutions of the thermocline equations with vertical variations of diffusion

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION PROFILE; EQUATIONS; SIMILARITY SOLUTIONS; THERMOCLINE;

EID: 0029775982     PISSN: 00222402     EISSN: None     Source Type: Journal    
DOI: 10.1357/0022240963213394     Document Type: Article
Times cited : (5)

References (32)
  • 4
    • 5644253755 scopus 로고
    • Diffracting nonlinear acoustic beams in 3 + 1-dimensions with applications to oceanic acoustics
    • Cates, A. T. 1990. Diffracting nonlinear acoustic beams in 3 + 1-dimensions with applications to oceanic acoustics. Physica, 44D, 303-312.
    • (1990) Physica , vol.44 D , pp. 303-312
    • Cates, A.T.1
  • 5
    • 0008035479 scopus 로고
    • Nonlinear diffraction and caustic formation
    • Cates, A. T. and D. G. Crighton. 1990. Nonlinear diffraction and caustic formation. Proc. R. Soc. Lond. A, 430, 69-88.
    • (1990) Proc. R. Soc. Lond. A , vol.430 , pp. 69-88
    • Cates, A.T.1    Crighton, D.G.2
  • 6
    • 21344480376 scopus 로고
    • New symmetry reductions and exact solutions of the Davey-Stewartson system. I. Reductions to ordinary differential equations
    • Clarkson, P. A. and S. Hood. 1994. New symmetry reductions and exact solutions of the Davey-Stewartson system. I. Reductions to ordinary differential equations. J. Math. Phys., 35, 255-283.
    • (1994) J. Math. Phys. , vol.35 , pp. 255-283
    • Clarkson, P.A.1    Hood, S.2
  • 7
    • 84972091492 scopus 로고
    • Nonclassical symmetry reductions and exact solutions of the Zabolotskaya-Khokhlov Equation
    • _ 1992. Nonclassical symmetry reductions and exact solutions of the Zabolotskaya-Khokhlov Equation. Euro. J. Appl. Maths., 3, 381-414.
    • (1992) Euro. J. Appl. Maths. , vol.3 , pp. 381-414
  • 8
    • 18944400520 scopus 로고
    • New similarity solutions of the Boussinesq equation
    • Clarkson, P. A. and M. D. Kruskal. 1989. New similarity solutions of the Boussinesq equation, J. Math. Phys., 30, 2201-2213.
    • (1989) J. Math. Phys. , vol.30 , pp. 2201-2213
    • Clarkson, P.A.1    Kruskal, M.D.2
  • 9
    • 0002247504 scopus 로고
    • Review of symbolic software for the computation of Lie symmetries of differential equations
    • Hereman, W. 1994. Review of symbolic software for the computation of Lie symmetries of differential equations. Euromath Bull., 1, 45-79.
    • (1994) Euromath Bull. , vol.1 , pp. 45-79
    • Hereman, W.1
  • 11
    • 0029730965 scopus 로고    scopus 로고
    • On frontal and ventilated models of the main thermocline
    • Hood, S. and R. G. Williams. 1996. On frontal and ventilated models of the main thermocline. J. Mar. Res., 54, 211-238.
    • (1996) J. Mar. Res. , vol.54 , pp. 211-238
    • Hood, S.1    Williams, R.G.2
  • 13
    • 0000004523 scopus 로고
    • A continuously stratified nonlinear ventilated thermocline
    • Killworth, P. D. 1987. A continuously stratified nonlinear ventilated thermocline. J. Phys. Oceanogr., 17, 1925-1943.
    • (1987) J. Phys. Oceanogr. , vol.17 , pp. 1925-1943
    • Killworth, P.D.1
  • 15
    • 0004594227 scopus 로고
    • A model for thermohaline circulation in an ocean of finite depth
    • Needler, G. T. 1967. A model for thermohaline circulation in an ocean of finite depth. J. Mar. Res., 25, 329-342.
    • (1967) J. Mar. Res. , vol.25 , pp. 329-342
    • Needler, G.T.1
  • 16
    • 0001193076 scopus 로고
    • Symmetry and explicit solutions of partial differential equations
    • Olver, P. J. 1992. Symmetry and explicit solutions of partial differential equations. Appl. Numer. Math., 10, 307-324.
    • (1992) Appl. Numer. Math. , vol.10 , pp. 307-324
    • Olver, P.J.1
  • 17
    • 0018717368 scopus 로고
    • Springer-Verlag, second ed., New York
    • Pedlosky, J. 1986. Geophysical Fluid Dynamics. Springer-Verlag, second ed., New York, 441-469.
    • (1986) Geophysical Fluid Dynamics , pp. 441-469
    • Pedlosky, J.1
  • 18
    • 0344631905 scopus 로고
    • Thermocline theories
    • H. D. I. Arbanel and W. R. Young eds. Springer-Verlag New York Inc.
    • _ 1987. Thermocline theories, in General Circulation of the Ocean, H. D. I. Arbanel and W. R. Young eds. Springer-Verlag New York Inc.
    • (1987) General Circulation of the Ocean
  • 19
    • 0000976831 scopus 로고
    • A theory of wind-driven circulation. I: Mid-ocean gyres
    • Rhines, P. B. and W. R. Young. 1982. A theory of wind-driven circulation. I: mid-ocean gyres. J. Mar. Res., 40(suppl.), 559-595.
    • (1982) J. Mar. Res. , vol.40 , Issue.SUPPL. , pp. 559-595
    • Rhines, P.B.1    Young, W.R.2
  • 20
    • 0001020780 scopus 로고
    • The ocean thermocline and the associated thermohaline circulation
    • Robinson, A. R. and H. Stommel. 1959. The ocean thermocline and the associated thermohaline circulation. Tellus, 11, 295-308.
    • (1959) Tellus , vol.11 , pp. 295-308
    • Robinson, A.R.1    Stommel, H.2
  • 21
    • 5644242578 scopus 로고
    • Thermal circulation on a rotating sphere; with application to the oceanic thermocline
    • Robinson, A. R. and P. Welander. 1963. Thermal circulation on a rotating sphere; with application to the oceanic thermocline. J. Mar. Res., 21, 25-38.
    • (1963) J. Mar. Res. , vol.21 , pp. 25-38
    • Robinson, A.R.1    Welander, P.2
  • 22
    • 0000410628 scopus 로고
    • The thermocline as an "internal boundary layer."
    • Salmon, R. 1990. The thermocline as an "internal boundary layer." J. Mar. Res., 48, 437-469.
    • (1990) J. Mar. Res. , vol.48 , pp. 437-469
    • Salmon, R.1
  • 23
    • 0023770258 scopus 로고
    • Hamiltonian fluid mechanics
    • _ 1988. Hamiltonian fluid mechanics. Ann. Rev. Fluid. Mech., 20, 225-256.
    • (1988) Ann. Rev. Fluid. Mech. , vol.20 , pp. 225-256
  • 24
    • 0022046302 scopus 로고
    • New equations for yearly geostrophic flow
    • _ 1985. New equations for yearly geostrophic flow. J. Fluid. Mech., 153, 461-477.
    • (1985) J. Fluid. Mech. , vol.153 , pp. 461-477
  • 25
    • 0020515138 scopus 로고
    • Practical use of Hamilton's principle
    • _ 1983. Practical use of Hamilton's principle. J. Fluid. Mech., 132, 431-444.
    • (1983) J. Fluid. Mech. , vol.132 , pp. 431-444
  • 26
    • 0001717998 scopus 로고
    • Similarity solutions of the thermocline equations
    • Salmon, R. and R. Hollerbach. 1991. Similarity solutions of the thermocline equations. J. Mar. Res., 49, 249-280.
    • (1991) J. Mar. Res. , vol.49 , pp. 249-280
    • Salmon, R.1    Hollerbach, R.2
  • 28
    • 0000370875 scopus 로고
    • On theoretical models of the thermocline circulation
    • Veronis, G. 1969. On theoretical models of the thermocline circulation. Deep-Sea Res., 16, (suppl.), 301-323.
    • (1969) Deep-Sea Res. , vol.16 , Issue.SUPPL. , pp. 301-323
    • Veronis, G.1
  • 29
    • 0002205642 scopus 로고
    • Some exact solutions to the equations describing an ideal-fluid thermocline
    • Welander, P. 1971. Some exact solutions to the equations describing an ideal-fluid thermocline. J. Mar. Res., 29, 60-68.
    • (1971) J. Mar. Res. , vol.29 , pp. 60-68
    • Welander, P.1
  • 30
    • 0001316746 scopus 로고
    • An advective model of the ocean thermocline
    • _ 1959. An advective model of the ocean thermocline. Tellus, 11, 309-318.
    • (1959) Tellus , vol.11 , pp. 309-318
  • 31
    • 0023406616 scopus 로고
    • Approximating the equations governing rotating fluid motion: A case study based on a quasi-geostrophic model
    • White, A. A. 1987. Approximating the equations governing rotating fluid motion: a case study based on a quasi-geostrophic model. J. Fluid. Mech., 182, 315-334.
    • (1987) J. Fluid. Mech. , vol.182 , pp. 315-334
    • White, A.A.1
  • 32
    • 0000321078 scopus 로고
    • Eastern boundary conditions and weak solutions of the ideal thermocline equations
    • Young, W. R. and G. R. Ierley. 1986. Eastern boundary conditions and weak solutions of the ideal thermocline equations. J. Phys. Oceanogr., 16, 1884-1900.
    • (1986) J. Phys. Oceanogr. , vol.16 , pp. 1884-1900
    • Young, W.R.1    Ierley, G.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.