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Volumn 154, Issue 1, 2000, Pages 53-91

Bulk burning rate in passive-reactive diffusion

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EID: 0034376554     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050000090     Document Type: Article
Times cited : (105)

References (41)
  • 1
    • 49349119963 scopus 로고
    • Multidimensional diffusion arising in population genetics
    • D. G. ARONSON & H. F. WEINBERGER, Multidimensional diffusion arising in population genetics, Adv. in Math. 30, 1978, 33-76.
    • (1978) Adv. in Math. , vol.30 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 2
    • 0000705763 scopus 로고
    • An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows
    • M. AVELLANEDA & A. MAJDA, An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows, Comm. Math. Phys. 138, 1991, 339-391.
    • (1991) Comm. Math. Phys. , vol.138 , pp. 339-391
    • Avellaneda, M.1    Majda, A.2
  • 4
    • 0002626724 scopus 로고
    • Multi-dimensional travelling wave solutions of a flame propagation model
    • H. BERESTYCKI, B. LARROUTUROU & P. L. LIONS, Multi-dimensional travelling wave solutions of a flame propagation model, Arch. Rational Mech. Anal. 111, 1990, 33-49.
    • (1990) Arch. Rational Mech. Anal. , vol.111 , pp. 33-49
    • Berestycki, H.1    Larrouturou, B.2    Lions, P.L.3
  • 5
    • 0002785224 scopus 로고
    • Stability of traveling fronts in a model for flame propagation I: Linear stability
    • H. BERESTYCKI, B. LARROUTUROU & J.-M. ROQUEJOFFRE, Stability of traveling fronts in a model for flame propagation I: linear stability, Arch. Rational Mech. Anal. 117, 1992, 97-117.
    • (1992) Arch. Rational Mech. Anal. , vol.117 , pp. 97-117
    • Berestycki, H.1    Larrouturou, B.2    Roquejoffre, J.-M.3
  • 8
    • 0018432620 scopus 로고
    • Theory of pre-mixed flame propagation in large-scale turbulence
    • P. CLAVIN & F. A. WILLIAMS, Theory of pre-mixed flame propagation in large-scale turbulence, Jour. Fluid. Mech. 90, 1979, 589-604.
    • (1979) Jour. Fluid. Mech. , vol.90 , pp. 589-604
    • Clavin, P.1    Williams, F.A.2
  • 10
    • 0029140799 scopus 로고
    • Comparison of turbulent flame speeds from complete averaging and the G-equation
    • P. EMBID, A. MAJDA & P. SOUGANIDIS, Comparison of turbulent flame speeds from complete averaging and the G-equation, Phys. Fluids 7, 1995, 2052-2060.
    • (1995) Phys. Fluids , vol.7 , pp. 2052-2060
    • Embid, P.1    Majda, A.2    Souganidis, P.3
  • 11
    • 0002966631 scopus 로고
    • Effective geometric front dynamics for premixed turbulent combustion with separated velocity scales
    • P. EMBID, A. MAJDA & P. SOUGANIDIS, Effective geometric front dynamics for premixed turbulent combustion with separated velocity scales, Combustion Sci. and Tech. 103, 1994, 85.
    • (1994) Combustion Sci. and Tech. , vol.103 , pp. 85
    • Embid, P.1    Majda, A.2    Souganidis, P.3
  • 12
    • 0028416333 scopus 로고
    • Convection enhanced diffusion for periodic flows
    • A. FANNJIANG & G. PAPANICOLAOU, Convection enhanced diffusion for periodic flows, SIAM J. Appl. Math. 54, 1994, 333-408.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 333-408
    • Fannjiang, A.1    Papanicolaou, G.2
  • 13
    • 0003299218 scopus 로고
    • Mathematical aspects of reacting and diffusing systems
    • Springer-Verlag, New York
    • P. C. FIFE, Mathematical Aspects of Reacting and Diffusing Systems, Lect. Notes Biomath 28, Springer-Verlag, New York, 1979.
    • (1979) Lect. Notes Biomath , vol.28
    • Fife, P.C.1
  • 14
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • R. FISHER, The wave of advance of advantageous genes, Ann. Eugenics 7, 1937, 355-369.
    • (1937) Ann. Eugenics , vol.7 , pp. 355-369
    • Fisher, R.1
  • 15
    • 0008835676 scopus 로고
    • On the propagation of concentration waves in periodic and random media
    • M. FREIDLIN & J. GÄRTNER, On the propagation of concentration waves in periodic and random media, Soviet Math. Dokl. 20, 1979, 1282-1286.
    • (1979) Soviet Math. Dokl. , vol.20 , pp. 1282-1286
    • Freidlin, M.1    Gärtner, J.2
  • 16
    • 0022699402 scopus 로고
    • Geometric optics approach to reaction-diffusion equations
    • M. FREIDLIN, Geometric optics approach to reaction-diffusion equations, SIAM J. Appl. Math. 46, 1986, 222-232.
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 222-232
    • Freidlin, M.1
  • 17
    • 0040731158 scopus 로고
    • Limit theorems for large deviations and reaction-diffusion equations
    • M. FREIDLIN, Limit theorems for large deviations and reaction-diffusion equations, Ann. Probability 13, 1985, 639-675.
    • (1985) Ann. Probability , vol.13 , pp. 639-675
    • Freidlin, M.1
  • 19
    • 0000638913 scopus 로고
    • Stabilization of solutions of the cauchy problem for equations encountered in combustion theory
    • YA. KANEL, Stabilization of solutions of the Cauchy problem for equations encountered in combustion theory, Mat. Sbornik 59, 1962, 245-288.
    • (1962) Mat. Sbornik , vol.59 , pp. 245-288
    • Kanel, Y.1
  • 20
    • 0001005614 scopus 로고
    • Propagation rate of growing interfaces in stirred fluids
    • A. KERSTEIN & W. ASHURST, Propagation rate of growing interfaces in stirred fluids, Phys. Rev. Lett. 68, 1992, 934-937.
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 934-937
    • Kerstein, A.1    Ashurst, W.2
  • 21
    • 84963333663 scopus 로고
    • Simple derivation of yakhot's turbulent premixed flame speed formula
    • A. KERSTEIN, Simple derivation of Yakhot's turbulent premixed flame speed formula, Combust. Sci. and Tech. 60, 1988, 163-165.
    • (1988) Combust. Sci. and Tech. , vol.60 , pp. 163-165
    • Kerstein, A.1
  • 22
    • 58149369339 scopus 로고
    • Pair-exchange model of turbulent premixed flame propagation
    • Combustion Institute
    • A. KERSTEIN, Pair-exchange model of turbulent premixed flame propagation, Twenty-first Simposium (International) on Combustion, Combustion Institute, 1986, 1281-1289.
    • (1986) Twenty-first Simposium (International) on Combustion , pp. 1281-1289
    • Kerstein, A.1
  • 23
    • 0002722044 scopus 로고
    • Étude de l'équation de la chaleurde matière et son application à un problème biologique
    • [28] pp. 105-130 for an English transl.
    • A. N. KOLMOGOROV, I. G. PETROVSKII & N. S. PISKUNOV, Étude de l'équation de la chaleurde matière et son application à un problème biologique, Bull. Moskov. Gos. Univ. Mat. Mekh. 1 1937, 1-25. see [28] pp. 105-130 for an English transl.
    • (1937) Bull. Moskov. Gos. Univ. Mat. Mekh. , vol.1 , pp. 1-25
    • Kolmogorov, A.N.1    Petrovskii, I.G.2    Piskunov, N.S.3
  • 24
    • 0002558785 scopus 로고
    • Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales
    • A. MAJDA & P. SOUGANIDIS, Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales, Nonlinearity, 7, 1994, 1-30.
    • (1994) Nonlinearity , vol.7 , pp. 1-30
    • Majda, A.1    Souganidis, P.2
  • 25
    • 0039256896 scopus 로고
    • A parabolic equation of the KPP type in higher dimensions
    • J.-F. MALLORDY & J.-M. ROQUEJOFFRE, A parabolic equation of the KPP type in higher dimensions. SIAM J. Math. Anal. 26, 1995, 1-20.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1-20
    • Mallordy, J.-F.1    Roquejoffre, J.-M.2
  • 26
    • 0001898373 scopus 로고    scopus 로고
    • The effect of finite front thickness on the enhanced speed of propagation
    • R. MCLAUGHLIN & J. ZHU, The effect of finite front thickness on the enhanced speed of propagation, Combustion Sci. and Tech. 129, 1997, 89-112.
    • (1997) Combustion Sci. and Tech. , vol.129 , pp. 89-112
    • McLaughlin, R.1    Zhu, J.2
  • 27
    • 0008827176 scopus 로고
    • Reaction diffusion fronts in periodically layered media
    • G. PAPANICOLAU & X. XIN, Reaction diffusion fronts in periodically layered media, Jour. Stat. Phys. 63, 1991, 915-932.
    • (1991) Jour. Stat. Phys. , vol.63 , pp. 915-932
    • Papanicolau, G.1    Xin, X.2
  • 30
    • 0002138177 scopus 로고
    • Some open issues in premixed turbulent combustion
    • J. BUCKMUSTER AND T. TAKENO, eds., Springer-Verlag, Berlin
    • P. RONNEY, Some open issues in premixed turbulent combustion, in Modeling in Combustion Science, J. BUCKMUSTER AND T. TAKENO, eds., Springer-Verlag, Berlin, 1995.
    • (1995) Modeling in Combustion Science
    • Ronney, P.1
  • 31
    • 34249834157 scopus 로고
    • Stability of traveling fronts in a model for flame propagation II: Nonlinear stability
    • J.-M. ROQUEJOFFRE, Stability of traveling fronts in a model for flame propagation II: nonlinear stability, Arch. Rat. Mech. Anal. 117, 1992, 119-153.
    • (1992) Arch. Rat. Mech. Anal. , vol.117 , pp. 119-153
    • Roquejoffre, J.-M.1
  • 32
    • 0017554878 scopus 로고
    • Nonlinear analysis of hydrodynamic instability in laminar flames I
    • G. SIVASHINSKY, Nonlinear analysis of hydrodynamic instability in laminar flames I, Acta Astronautica 1977, 4, 1177-1206.
    • (1977) Acta Astronautica , vol.4 , pp. 1177-1206
    • Sivashinsky, G.1
  • 33
    • 0020592802 scopus 로고
    • Instabilities, pattern formation and turbulence in flames
    • G. SIVASHINSKY, Instabilities, pattern formation and turbulence in flames, Ann. Rev. Fluid. Mech. 15, 1983, 179-199.
    • (1983) Ann. Rev. Fluid. Mech. , vol.15 , pp. 179-199
    • Sivashinsky, G.1
  • 35
    • 0001412911 scopus 로고
    • Traveling wave solutions of parabolic systems
    • Amer. Math. Soc., Providence, Rhode Island
    • A. VOLPERT, V. VOLPERT & V. VOLPERT, Traveling Wave Solutions of Parabolic Systems, Translations of mathematical Monographs, 140, Amer. Math. Soc., Providence, Rhode Island 1994.
    • (1994) Translations of Mathematical Monographs , vol.140
    • Volpert, A.1    Volpert, V.2    Volpert, V.3
  • 37
    • 0000384621 scopus 로고
    • Existence and uniqueness of traveling wave solutions in a reaction-diffusion equation with combustion non-linearity
    • X. XIN, Existence and uniqueness of traveling wave solutions in a reaction-diffusion equation with combustion non-linearity, Indian Univ. Math. Jour. 40, 1991, 985-1008.
    • (1991) Indian Univ. Math. Jour. , vol.40 , pp. 985-1008
    • Xin, X.1
  • 38
    • 21144464889 scopus 로고
    • Existence of planar flame fronts in convective-diffusive periodic media
    • J. XIN, Existence of planar flame fronts in convective-diffusive periodic media, Arch. Rat. Mech. Anal. 121, 1992, 205-233.
    • (1992) Arch. Rat. Mech. Anal. , vol.121 , pp. 205-233
    • Xin, J.1
  • 39
    • 21344491318 scopus 로고
    • Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media
    • J. XIN, Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media, Jour. Stat. Phys. 73, 1993, 893-926.
    • (1993) Jour. Stat. Phys. , vol.73 , pp. 893-926
    • Xin, J.1
  • 40
    • 0034206088 scopus 로고    scopus 로고
    • Analysis and modeling of front propagation in heterogeneous media
    • J. XIN, Analysis and modeling of front propagation in heterogeneous media, SIAM Review 42, 2000, 161-230.
    • (2000) SIAM Review , vol.42 , pp. 161-230
    • Xin, J.1
  • 41
    • 84963178175 scopus 로고    scopus 로고
    • Propagation velocity of premixed turbulent flames
    • V. YAKHOT, Propagation velocity of premixed turbulent flames, Combust. Sci. and Tech. 60, 191-214.
    • Combust. Sci. and Tech. , vol.60 , pp. 191-214
    • Yakhot, V.1


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