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Volumn 455, Issue 1984, 1999, Pages 1401-1433

Unsteady fronts in an auto catalytic system

Author keywords

Combustion; Instability; Travelling waves

Indexed keywords


EID: 33746450836     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0366     Document Type: Article
Times cited : (29)

References (32)
  • 2
    • 0005235678 scopus 로고
    • A topological invariant arising in the stability analysis of travelling waves
    • Alexander, J., Gardner, R. & Jones, C. 1990 A topological invariant arising in the stability analysis of travelling waves. J. Reine Angew. Math. 410, 167-212.
    • (1990) J. Reine Angew. Math. , vol.410 , pp. 167-212
    • Alexander, J.1    Gardner, R.2    Jones, C.3
  • 3
    • 0025413863 scopus 로고
    • Two routes to chaos in condensed phase combustion
    • Bayliss, A. & Matkowsky, B. J. 1990 Two routes to chaos in condensed phase combustion. SIAM J. Appl. Maths 50, 437-459.
    • (1990) SIAM J. Appl. Maths , vol.50 , pp. 437-459
    • Bayliss, A.1    Matkowsky, B.J.2
  • 6
    • 0028443125 scopus 로고
    • Algorithm 731: A moving-grid interface for systems of onedimensional time-dependent partial differential equations
    • Blom, J. G. & Zegeling, P. A. 1994 Algorithm 731: a moving-grid interface for systems of onedimensional time-dependent partial differential equations. ACM Trans. Math. Software 20, 194-214.
    • (1994) ACM Trans. Math. Software , vol.20 , pp. 194-214
    • Blom, J.G.1    Zegeling, P.A.2
  • 7
    • 0343706833 scopus 로고
    • On the stability of multiple steady planar flames when the Lewis number is less than 1
    • Bonnet, A., Larrouturou, B. & Sainsaulieu, L. 1993 On the stability of multiple steady planar flames when the Lewis number is less than 1. Physica D 69, 345-352.
    • (1993) Physica D , vol.69 , pp. 345-352
    • Bonnet, A.1    Larrouturou, B.2    Sainsaulieu, L.3
  • 8
    • 0020304319 scopus 로고
    • High order method for the numerical solution of two-point boundary value problems
    • Cash, J. R. & Singhai, A. 1982 High order method for the numerical solution of two-point boundary value problems. BIT 22, 184-188.
    • (1982) BIT , vol.22 , pp. 184-188
    • Cash, J.R.1    Singhai, A.2
  • 9
    • 0042719924 scopus 로고
    • Modelling reaction-diffusion pattern formation in the Couette flow reactor
    • Elezgaray, J. & Arneodo, A. 1991 Modelling reaction-diffusion pattern formation in the Couette flow reactor. J. Chem. Phys. 95, 323-350.
    • (1991) J. Chem. Phys. , vol.95 , pp. 323-350
    • Elezgaray, J.1    Arneodo, A.2
  • 12
    • 0003460899 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Henry, D. 1981 Geometric theory of semilinear parabolic equations. Springer.
    • (1981) Springer.
    • Henry, D.1
  • 13
    • 36448999535 scopus 로고
    • Instabilities in propagating reactiondiffusion fronts
    • Horvâth, D., Petrov, V., Scott, S. K. & Showalter, K. 1993 Instabilities in propagating reactiondiffusion fronts. J. Chem. Phys. 98, 6332-6343.
    • (1993) J. Chem. Phys. , vol.98 , pp. 6332-6343
    • Horvâth, D.1    Petrov, V.2    Scott, S.K.3    Showalter, K.4
  • 14
    • 0002085758 scopus 로고
    • An interfacial approach to regional segregation of two competing species mediated by a predator
    • Ikeda, T. & Mimura, M. 1993 An interfacial approach to regional segregation of two competing species mediated by a predator. J. Math. Biol. 31, 215-240.
    • (1993) J. Math. Biol. , vol.31 , pp. 215-240
    • Ikeda, T.1    Mimura, M.2
  • 15
    • 0026168065 scopus 로고
    • Algorithm 688 EPDCOL-a more efficient PDECOL code
    • Keast, P. & Muir, P. H. 1991 Algorithm 688 EPDCOL-a more efficient PDECOL code. ACM Trans. Math. Software 17, 153-166.
    • (1991) ACM Trans. Math. Software , vol.17 , pp. 153-166
    • Keast, P.1    Muir, P.H.2
  • 16
    • 0342583796 scopus 로고
    • Instabilities and pattern formation in crystal growth
    • Langer, J. S. 1980 Instabilities and pattern formation in crystal growth. Rev. Mod. Phys. 52, 1-28.
    • (1980) Rev. Mod. Phys. , vol.52 , pp. 1-28
    • Langer, J.S.1
  • 17
    • 0043028509 scopus 로고
    • The equations of one-dimensional unsteady flame propagation: Existence and uniqueness
    • Larrouturou, B. 1988 The equations of one-dimensional unsteady flame propagation: existence and uniqueness. SIAM J. Math. Analysis 19, 32-59.
    • (1988) SIAM J. Math. Analysis , vol.19 , pp. 32-59
    • Larrouturou, B.1
  • 18
    • 0001444298 scopus 로고
    • Biscale chaos in propagating fronts
    • Malevanets, A., Careta, A. & Kapral, R. 1995 Biscale chaos in propagating fronts. Phys. Rev. E 52, 4724-4735.
    • (1995) Phys. Rev. E , vol.52 , pp. 4724-4735
    • Malevanets, A.1    Careta, A.2    Kapral, R.3
  • 19
    • 0032478450 scopus 로고    scopus 로고
    • Global solutions to a reactive Boussinesq system with front data on an infinite domain
    • Malham, S. J. A. & Xin, J. 1998 Global solutions to a reactive Boussinesq system with front data on an infinite domain. Comm. Math. Phys. 193, 287-316.
    • (1998) Comm. Math. Phys. , vol.193 , pp. 287-316
    • Malham, S.J.A.1    Xin, J.2
  • 20
    • 0026016989 scopus 로고
    • The transition to nonsteady deflagration in gasless combustion
    • Margolis, S. B. 1991 The transition to nonsteady deflagration in gasless combustion. Prog. Energy Combust. Sci. 17, 135-162.
    • (1991) Prog. Energy Combust. Sci. , vol.17 , pp. 135-162
    • Margolis, S.B.1
  • 21
    • 0018031317 scopus 로고
    • Propagation of a pulsating reaction front in solid fuel combustion
    • Matkowsky, B. J. & Sivashinsky, G. I. 1978 Propagation of a pulsating reaction front in solid fuel combustion. SIAM J. Appl. Maths. 35, 465-478.
    • (1978) SIAM J. Appl. Maths. , vol.35 , pp. 465-478
    • Matkowsky, B.J.1    Sivashinsky, G.I.2
  • 22
    • 0028768563 scopus 로고
    • Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis
    • Metcalf, M. J., Merkin, J. H. & Scott, S. K. 1994 Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis. Proc. R. Soc. Lond. A 447, 155-174.
    • (1994) Proc. R. Soc. Lond. a , vol.447 , pp. 155-174
    • Metcalf, M.J.1    Merkin, J.H.2    Scott, S.K.3
  • 23
    • 0347080740 scopus 로고
    • Stochastic behaviour and stirring rate effects in the chloriteiodide reaction
    • Nagypal, I. & Epstein, I. R. 1988 Stochastic behaviour and stirring rate effects in the chloriteiodide reaction. J. Chem. Phys. 89, 6925-6928.
    • (1988) J. Chem. Phys. , vol.89 , pp. 6925-6928
    • Nagypal, I.1    Epstein, I.R.2
  • 24
    • 0000130504 scopus 로고
    • Layer oscillations in reaction-diffusion systems
    • Nishiura, Y. & Mimura, M. 1989 Layer oscillations in reaction-diffusion systems. SIAM J. Appl. Math. 49, 482-514.
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 482-514
    • Nishiura, Y.1    Mimura, M.2
  • 25
  • 26
    • 0003153932 scopus 로고
    • Oscillatory instability of traveling waves for a KdV-Burgers equation
    • Pego, R. L., Smereka, P. & Weinstein, M. I. 1993 Oscillatory instability of traveling waves for a KdV-Burgers equation. Physica D 67, 45-65.
    • (1993) Physica D , vol.67 , pp. 45-65
    • Pego, R.L.1    Smereka, P.2    Weinstein, M.I.3
  • 28
    • 0017442565 scopus 로고
    • Diffusional-thermal theory of cellular flames
    • Sivashinsky, G. I. 1977 Diffusional-thermal theory of cellular flames. Comb. Sci. Tech. 15, 137-146.
    • (1977) Comb. Sci. Tech. , vol.15 , pp. 137-146
    • Sivashinsky, G.I.1
  • 29
    • 21744441389 scopus 로고    scopus 로고
    • Numerical modelling of self-propagating polymerization fronts: The role of kinetics on front stability
    • Solovyov, S. E., Ilyashenko, V. M. & Pojman, J. A. 1997 Numerical modelling of self-propagating polymerization fronts: the role of kinetics on front stability. Chaos 7, 331-340.
    • (1997) Chaos , vol.7 , pp. 331-340
    • Solovyov, S.E.1    Ilyashenko, V.M.2    Pojman, J.A.3
  • 30
    • 0000470794 scopus 로고
    • Stability of travelling pulse solutions to a laser equation
    • Swinton, J. & Elgin, J. 1990 Stability of travelling pulse solutions to a laser equation. Phys. Lett. A145, 428-433.
    • (1990) Phys. Lett. a , vol.145 , pp. 428-433
    • Swinton, J.1    Elgin, J.2
  • 31
    • 0040688532 scopus 로고
    • Stability of planar wave solutions to a combustion model
    • Terman, D. 1990 Stability of planar wave solutions to a combustion model. SIAM J. Math. Analysis 21, 1139-1171.
    • (1990) SIAM J. Math. Analysis , vol.21 , pp. 1139-1171
    • Terman, D.1
  • 32
    • 0028768492 scopus 로고
    • Stability of reaction-diffusion fronts
    • Zhang, Z. & Falle, S. A. E. G. 1994 Stability of reaction-diffusion fronts. Proc. R. Soc. Lond. A 446, 517-528.
    • (1994) Proc. R. Soc. Lond. a , vol.446 , pp. 517-528
    • Zhang, Z.1    Falle, S.A.E.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.