메뉴 건너뛰기




Volumn 20, Issue 1, 2007, Pages 21-49

Degenerate dispersive equations arising in the study of magma dynamics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33947625062     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/20/1/003     Document Type: Article
Times cited : (51)

References (35)
  • 1
    • 0043246484 scopus 로고    scopus 로고
    • A network model for permeability in partially molten rocks
    • Zhu W and Hirth G 2003 A network model for permeability in partially molten rocks Earth Planet. Sci. Lett. 212 407-16
    • (2003) Earth Planet. Sci. Lett. , vol.212 , Issue.3-4 , pp. 407-416
    • Zhu, W.1    Hirth, G.2
  • 2
    • 0021360880 scopus 로고
    • The generation and compaction of partially molten rock
    • McKenzie D 1984 The generation and compaction of partially molten rock J. Petrol. 25 713-65
    • (1984) J. Petrol. , vol.25 , Issue.3 , pp. 713-765
    • McKenzie, D.1
  • 5
    • 0022674386 scopus 로고
    • Non-linear waves in compacting media
    • Barcilon V and Richter F M 1986 Non-linear waves in compacting media J. Fluid Mech. 165 429-48
    • (1986) J. Fluid Mech. , vol.164 , pp. 429-448
    • Barcilon, V.1    Richter, F.M.2
  • 6
    • 0039066118 scopus 로고
    • Rarefactive solitary waves in two-phase fluid flow of compacting media
    • Nakayama M and Mason D P 1992 Rarefactive solitary waves in two-phase fluid flow of compacting media Wave Motion 15 357-92
    • (1992) Wave Motion , vol.15 , Issue.4 , pp. 357-392
    • Nakayama, M.1    Mason, D.P.2
  • 7
    • 0024856665 scopus 로고
    • Solitary waves in magma dynamics
    • Barcilon V and Lovera O M 1989 Solitary waves in magma dynamics J. Fluid Mech. 204 121-33
    • (1989) J. Fluid Mech. , vol.204 , pp. 121-133
    • Barcilon, V.1    Lovera, O.M.2
  • 8
    • 84974379685 scopus 로고
    • Flow in deformable porous media: 1. Simple analysis
    • Spiegelman M 1993 Flow in deformable porous media: 1. Simple analysis J. Fluid Mech. 247 17-38
    • (1993) J. Fluid Mech. , vol.247 , pp. 17-38
    • Spiegelman, M.1
  • 9
    • 84976151736 scopus 로고
    • Flow in deformable porous media: 2. Numerical analysis
    • Spiegelman M 1993 Flow in deformable porous media: 2. Numerical analysis J. Fluid Mech. 247 39-63
    • (1993) J. Fluid Mech. , vol.247 , pp. 39-63
    • Spiegelman, M.1
  • 10
    • 0001009571 scopus 로고
    • Solitary wave-propogation in a fluid conduit within a viscous matrix
    • Olson P and Christensen U 1986 Solitary wave-propogation in a fluid conduit within a viscous matrix J. Geophys. Res. 91 6367-74
    • (1986) J. Geophys. Res. , vol.91 , pp. 6367-6374
    • Olson, P.1    Christensen, U.2
  • 11
    • 0024226026 scopus 로고
    • Wave transport of deep mantle material
    • Whitehead J A and Helfrich K R 1988 Wave transport of deep mantle material Nature 336 59-61
    • (1988) Nature , vol.336 , Issue.6194 , pp. 59-61
    • Whitehead, J.A.1    Helfrich, K.R.2
  • 12
    • 0039066125 scopus 로고
    • Properties of the magma and modified magma equations
    • Takahashi D, Sachs J R and Satsuma J 1990 Properties of the magma and modified magma equations J. Phys. Soc. Japan 59 1941-53
    • (1990) J. Phys. Soc. Japan , vol.59 , Issue.6 , pp. 1941-1953
    • Takahashi, D.1    Sachs, J.R.2    Satsuma, J.3
  • 13
    • 0003704518 scopus 로고
    • Explicit solutions of magma equation
    • Takahashi D and Satsuma J 1988 Explicit solutions of magma equation J. Phys. Soc. Japan 57 417-21
    • (1988) J. Phys. Soc. Japan , vol.57 , Issue.2 , pp. 417-421
    • Takahashi, D.1    Satsuma, J.2
  • 14
    • 0025901818 scopus 로고
    • Compressive solitary waves in compacting media
    • Nakayama M and Mason D P 1991 Compressive solitary waves in compacting media Int. J. Non-Linear Mech. 26 631-40
    • (1991) Int. J. Non-Linear Mech. , vol.26 , Issue.5 , pp. 631-640
    • Nakayama, M.1    Mason, D.P.2
  • 15
    • 21344478000 scopus 로고
    • On the existence of compressive solitary waves in compacting media
    • Nakayama M and Mason D P 1994 On the existence of compressive solitary waves in compacting media J. Phys. A: Math. Gen. 27 4589-99
    • (1994) J. Phys. A: Math. Gen. , vol.27 , Issue.13 , pp. 4589-4599
    • Nakayama, M.1    Mason, D.P.2
  • 16
    • 21844520873 scopus 로고
    • On the effect of background voidage on compressive solitary waves in compacting media
    • Nakayama M and Mason D P 1995 On the effect of background voidage on compressive solitary waves in compacting media J. Phys. A: Math. Gen. 28 7243-61
    • (1995) J. Phys. A: Math. Gen. , vol.28 , Issue.24 , pp. 7243-7261
    • Nakayama, M.1    Mason, D.P.2
  • 17
    • 0033520183 scopus 로고    scopus 로고
    • Pertrubation solution for small amplitude solitary waves in two-phase fluid flow of compacting media
    • Nakayama M and Mason D P 1999 Pertrubation solution for small amplitude solitary waves in two-phase fluid flow of compacting media J. Phys. A: Math. Gen. 32 6309-20
    • (1999) J. Phys. A: Math. Gen. , vol.32 , Issue.35 , pp. 6309-6320
    • Nakayama, M.1    Mason, D.P.2
  • 18
    • 0002293879 scopus 로고
    • The porous-medium equation
    • Aronson D G 1986 The porous-medium equation Nonlinear Diffusion Problem (Lecture Notes in Mathematics) vol 1224 ed M Terme (Berlin: Springer) pp 1-46
    • (1986) Nonlinear Diffusion Problem , vol.1224 , pp. 1-46
    • Aronson, D.G.1
  • 19
    • 84963023423 scopus 로고
    • The heat equation shrinking convex plane curves
    • Gage M and Hamilton R S 1986 The heat equation shrinking convex plane curves J. Diff. Geom. 23 69-96
    • (1986) J. Diff. Geom. , vol.23 , pp. 69-96
    • Gage, M.1    Hamilton, R.S.2
  • 20
    • 12044253199 scopus 로고
    • Compactons: Solitons with finite wavelength
    • Rosenau P and Hyman J M 1993 Compactons: solitons with finite wavelength Phys. Rev. Lett. 70 564-7
    • (1993) Phys. Rev. Lett. , vol.70 , Issue.5 , pp. 564-567
    • Rosenau, P.1    Hyman, J.M.2
  • 21
    • 84958444374 scopus 로고
    • Calculations of development of an undular bore
    • Peregrine D H 1966 Calculations of development of an undular bore J. Fluid Mech. 25 321-30
    • (1966) J. Fluid Mech. , vol.25 , Issue.2 , pp. 321-330
    • Peregrine, D.H.1
  • 22
    • 0001865962 scopus 로고
    • Model equations for long waves in nonlinear dispersive systems
    • Benjamin T B, Bona J L and Mahony J J 1972 Model equations for long waves in nonlinear dispersive systems Phil. Trans. R. Soc. Lond. A 272 47-78
    • (1972) Phil. Trans. R. Soc. Lond. , vol.272 , Issue.1220 , pp. 47-78
    • Benjamin, T.B.1    Bona, J.L.2    Mahony, J.J.3
  • 23
    • 0001143780 scopus 로고
    • Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid
    • Arnold V I 1965 Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid Dokl. Akad. Nauk SSSR 162 975-8
    • (1965) Dokl. Akad. Nauk SSSR , vol.162 , pp. 975-978
    • Arnold, V.I.1
  • 24
  • 25
    • 0002245635 scopus 로고
    • Nonlinear stability of fluid and plasma equilibria
    • Holm D D, Marsden J E, Ratiu T and Weinstein A 1985 Nonlinear stability of fluid and plasma equilibria Phys. Rep. 123 1-116
    • (1985) Phys. Rep. , vol.123 , Issue.1-2 , pp. 1-116
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.3    Weinstein, A.4
  • 26
    • 84990553584 scopus 로고
    • Lyapunov stability of ground states of nonlinear dispersive evolution equations
    • Weinstein M I 1986 Lyapunov stability of ground states of nonlinear dispersive evolution equations Commun. Pure Appl. Math. 39 51-68
    • (1986) Commun. Pure Appl. Math. , vol.39 , pp. 51-68
    • Weinstein, M.I.1
  • 31
    • 0039658244 scopus 로고    scopus 로고
    • Conservation laws for a nonlinear wave equation
    • Harris S E 1996 Conservation laws for a nonlinear wave equation Nonlinearity 9 187-208
    • (1996) Nonlinearity , vol.9 , Issue.1 , pp. 187-208
    • Harris, S.E.1
  • 32
    • 0037108125 scopus 로고    scopus 로고
    • Compaction in the mantle with a very small melt concentration: Implications for the generation of carbonatitic and carbonate-bearing high alkaline mafic melt impregnations
    • Rabinowicz M, Ricard Y and Gregoire M 2002 Compaction in the mantle with a very small melt concentration: Implications for the generation of carbonatitic and carbonate-bearing high alkaline mafic melt impregnations Earth Planet. Sci. Lett. 203 205-20
    • (2002) Earth Planet. Sci. Lett. , vol.203 , Issue.1 , pp. 205-220
    • Rabinowicz, M.1    Ricard, Y.2    Gregoire, M.3
  • 35
    • 0023041857 scopus 로고
    • Observations of solitary waves in a viscously deformable pipe
    • Scott D R, Stevenson D J and Whitehead J A Jr 1986 Observations of solitary waves in a viscously deformable pipe Nature 319 759-61
    • (1986) Nature , vol.319 , Issue.6056 , pp. 759-761
    • Scott, D.R.1    Stevenson, D.J.2    Whitehead, J.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.