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Volumn 59, Issue 3, 1997, Pages 287-307

Global blow-up of separable solutions of the vorticity equation

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; PROBLEM SOLVING; VORTEX FLOW;

EID: 0031362111     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/59.3.287     Document Type: Article
Times cited : (12)

References (15)
  • 2
    • 36849122625 scopus 로고
    • Laminar flow in channels with porous walls
    • BERMAN, A. S. 1953 Laminar flow in channels with porous walls. J. Appl. Phys. 24, 1332-1235.
    • (1953) J. Appl. Phys. , vol.24 , pp. 1332-11235
    • Berman, A.S.1
  • 3
    • 0024683327 scopus 로고
    • Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form
    • CHILDRESS, S., IERLEY, G. R., SPIEGEL, E. A. & YOUNG, W. R. 1989 Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form. J. Fluid Mech. 203, 1-22.
    • (1989) J. Fluid Mech. , vol.203 , pp. 1-22
    • Childress, S.1    Ierley, G.R.2    Spiegel, E.A.3    Young, W.R.4
  • 4
    • 0026170977 scopus 로고
    • Two dimensional flow of a viscous fluid in a channel with porous walls
    • COX, S. M. 1991 Two dimensional flow of a viscous fluid in a channel with porous walls. J. Fluid Mech. 227, 1-33.
    • (1991) J. Fluid Mech. , vol.227 , pp. 1-33
    • Cox, S.M.1
  • 5
    • 0022111977 scopus 로고
    • The flow at a rear stagnation point is eventually determined by exponentially small values of the velocity
    • VAN DOMMELIN, L. L. & SHEN, S. F. 1985 The flow at a rear stagnation point is eventually determined by exponentially small values of the velocity. J. Fluid mech. 157, 1-16.
    • (1985) J. Fluid Mech. , vol.157 , pp. 1-16
    • Van Dommelin, L.L.1    Shen, S.F.2
  • 6
    • 0028671683 scopus 로고
    • The asymptotic solution of a family of boundary value problems involving exponentially small terms
    • GRUNDY, R. E. & ALLEN, H. R. 1994 The asymptotic solution of a family of boundary value problems involving exponentially small terms. IMA J. Appl. Math. 53, 151-168.
    • (1994) IMA J. Appl. Math. , vol.53 , pp. 151-168
    • Grundy, R.E.1    Allen, H.R.2
  • 7
    • 0040706237 scopus 로고
    • A family of two-dimensional nonlinear solutions for magnetic field annihilation
    • JARDINE, M., ALLEN, H. R., GRUNDY, R. E. & PRIEST, E. R. 1992 A family of two-dimensional nonlinear solutions for magnetic field annihilation. J. Geophys. Res - Space Physics 97, 4199-4207.
    • (1992) J. Geophys. Res - Space Physics , vol.97 , pp. 4199-4207
    • Jardine, M.1    Allen, H.R.2    Grundy, R.E.3    Priest, E.R.4
  • 8
    • 0000373571 scopus 로고
    • Asymptotic solution of a laminar flow in a porous channel with large suction: A nonlinear turning point problem
    • MACGILLIVRAY, A. D. & CHUNQING LU 1994 Asymptotic solution of a laminar flow in a porous channel with large suction: a nonlinear turning point problem. Meth. Applics Analysis 1(2), 229-248.
    • (1994) Meth. Applics Analysis , vol.1 , Issue.2 , pp. 229-248
    • Macgillivray, A.D.1    Chunqing, L.2
  • 9
    • 0346170696 scopus 로고
    • Laminar flow in a porous channel
    • NATO ASI Series 284 (ed. H. Eegir, S. Tanveer & H. Levine). New York: Plenum Press
    • MCLEOD, J. B. 1991 Laminar flow in a porous channel. In Asymptotics Beyond all Orders. NATO ASI Series 284 (ed. H. Eegir, S. Tanveer & H. Levine). New York: Plenum Press.
    • (1991) Asymptotics Beyond All Orders
    • Mcleod, J.B.1
  • 10
    • 0001589299 scopus 로고
    • Boundary layer growth near a rear stagnation point
    • PROUDMAN, I. & JOHNSON, K. 1962 Boundary layer growth near a rear stagnation point. J. Fluid Mech. 12, 161-168.
    • (1962) J. Fluid Mech. , vol.12 , pp. 161-168
    • Proudman, I.1    Johnson, K.2
  • 11
    • 0016870338 scopus 로고
    • The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls
    • ROBINSON, W. A. 1976 The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls. J. Engng Math, 10, 23-40.
    • (1976) J. Engng Math , vol.10 , pp. 23-40
    • Robinson, W.A.1
  • 13
    • 0000031730 scopus 로고
    • Laminar flow in a porous channel with large injection
    • TERRILL, R. M. 1965 Laminar flow in a porous channel with large injection. Aeronaut. Q. 16 323-332.
    • (1965) Aeronaut. Q. , vol.16 , pp. 323-332
    • Terrill, R.M.1
  • 14
    • 0015651431 scopus 로고
    • On some exponentially small tems arising in flow through a porous pipe
    • TERRILL, R. M. 1973 On some exponentially small tems arising in flow through a porous pipe. Q. Jl Mech. Appl. Math. 26, 347-354.
    • (1973) Q. Jl Mech. Appl. Math. , vol.26 , pp. 347-354
    • Terrill, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.