메뉴 건너뛰기




Volumn 39, Issue 2, 2007, Pages 437-448

Sharp estimates on minimum travelling wave speed of reaction diffusion systems modelling autocatalysis

Author keywords

Cubic autocatalysis; Minimum speed; Reaction diffusion; Travelling wave

Indexed keywords

CUBIC AUTOCATALYSIS; ISOTHERMAL CHEMICAL REACTION; REACTION DIFFUSION;

EID: 41449113551     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/060665749     Document Type: Article
Times cited : (40)

References (24)
  • 1
    • 0024132730 scopus 로고
    • Modelling of cubic autocatalysis by successive biomolecular steps
    • R. ARIS, P. GRAY, AND S. K. SCOTT, Modelling of cubic autocatalysis by successive biomolecular steps, Chem. Eng. Sci., 43 (1988), pp. 207-211.
    • (1988) Chem. Eng. Sci , vol.43 , pp. 207-211
    • ARIS, R.1    GRAY, P.2    SCOTT, S.K.3
  • 2
    • 49349119963 scopus 로고
    • Multidimensional diffusion arising in population genetics
    • D. G. ARONSON AND H. F. WEINBERGER, Multidimensional diffusion arising in population genetics, Adv. Math., 30 (1978), pp. 33-76.
    • (1978) Adv. Math , vol.30 , pp. 33-76
    • ARONSON, D.G.1    WEINBERGER, H.F.2
  • 6
    • 0030240068 scopus 로고    scopus 로고
    • Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity
    • J. BRICMONT, A. KUPIAINEN, AND J. XIN, Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity, J. Differential Equations, 130 (1996), pp. 9-35.
    • (1996) J. Differential Equations , vol.130 , pp. 9-35
    • BRICMONT, J.1    KUPIAINEN, A.2    XIN, J.3
  • 7
    • 0037144960 scopus 로고    scopus 로고
    • Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
    • X. CHEN AND J.-S. GUO, Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations, J. Differential Equations, 184 (2002), pp. 549-569.
    • (2002) J. Differential Equations , vol.184 , pp. 549-569
    • CHEN, X.1    GUO, J.-S.2
  • 8
    • 0017637590 scopus 로고
    • The approach of nonlinear diffusion equations to travelling wave front solutions
    • P. C. FIFE AND J. B. MCLEOD, The approach of nonlinear diffusion equations to travelling wave front solutions, Arch. Rational Mech. Anal., 65 (1977), pp. 335-361.
    • (1977) Arch. Rational Mech. Anal , vol.65 , pp. 335-361
    • FIFE, P.C.1    MCLEOD, J.B.2
  • 9
    • 0000156777 scopus 로고    scopus 로고
    • Existence and stability of propagating fronts for an autocatalytic reaction-diffusion system
    • S. FOCANT AND TH. GALLAY, Existence and stability of propagating fronts for an autocatalytic reaction-diffusion system, Phys. D, 120 (1998), pp. 346-368.
    • (1998) Phys. D , vol.120 , pp. 346-368
    • FOCANT, S.1    GALLAY, T.2
  • 10
    • 37049098516 scopus 로고
    • A novel moving boundary reaction involving hydoxylamine and nitric acid
    • R. J. GOWLAND AND G. STEDMAN, A novel moving boundary reaction involving hydoxylamine and nitric acid, J. Chem. Soc. Chem. Commun., 10 (1983), pp. 1038-1039.
    • (1983) J. Chem. Soc. Chem. Commun , vol.10 , pp. 1038-1039
    • GOWLAND, R.J.1    STEDMAN, G.2
  • 11
    • 41449106457 scopus 로고
    • Experimental studies of the ignition diagram and the effect of added hydrogen
    • P. GRAY, J. F. GRIFFITHS, AND S. K. SCOTT, Experimental studies of the ignition diagram and the effect of added hydrogen, Proc. R. Soc. Lond. Ser. A, 397 (1984), pp. 21-44.
    • (1984) Proc. R. Soc. Lond. Ser. A , vol.397 , pp. 21-44
    • GRAY, P.1    GRIFFITHS, J.F.2    SCOTT, S.K.3
  • 13
    • 0020152923 scopus 로고
    • Detailed studies of propagating fronts in the iodate oxidation of arsenous acid
    • A. HANNA, A. SAUL, AND K. SHOWALTER, Detailed studies of propagating fronts in the iodate oxidation of arsenous acid, J. Am. Chem. Soc., 104 (1982), pp. 3838-3844.
    • (1982) J. Am. Chem. Soc , vol.104 , pp. 3838-3844
    • HANNA, A.1    SAUL, A.2    SHOWALTER, K.3
  • 14
    • 0000821846 scopus 로고
    • Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system
    • J. H. MERKIN AND D. J. NEEDHAM, Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system, J. Engrg. Math., 23 (1989), pp. 343-356.
    • (1989) J. Engrg. Math , vol.23 , pp. 343-356
    • MERKIN, J.H.1    NEEDHAM, D.J.2
  • 17
    • 33846590412 scopus 로고    scopus 로고
    • The development of travelling waves in cubic auto-catalysis with different rates of diffusion
    • Y. W. QI, The development of travelling waves in cubic auto-catalysis with different rates of diffusion, Phys. D, 226 (2007), pp. 129-135.
    • (2007) Phys. D , vol.226 , pp. 129-135
    • QI, Y.W.1
  • 18
    • 0000814275 scopus 로고
    • On the stability of waves of nonlinear parabolic systems
    • D. SATTINGER, On the stability of waves of nonlinear parabolic systems, Adv. Math., 22 (1976), pp. 312-355.
    • (1976) Adv. Math , vol.22 , pp. 312-355
    • SATTINGER, D.1
  • 19
    • 0003156676 scopus 로고
    • Propagating reaction-diffusion fronts
    • Systems, R. J. Field and M. Burgern, eds, Wiley, New York
    • A. SAUL AND K. SHOWALTER, Propagating reaction-diffusion fronts, in Oscillations and Travelling Waves in Chemical Systems, R. J. Field and M. Burgern, eds., Wiley, New York, 1984.
    • (1984) Oscillations and Travelling Waves in Chemical
    • SAUL, A.1    SHOWALTER, K.2
  • 21
    • 33748795043 scopus 로고    scopus 로고
    • Hair-triggered instability of radial steady states, spread and extinction in semilinear heat equations
    • J. SHI AND X. WANG, Hair-triggered instability of radial steady states, spread and extinction in semilinear heat equations, J. Differential Equations, 231 (2006), pp. 235-251.
    • (2006) J. Differential Equations , vol.231 , pp. 235-251
    • SHI, J.1    WANG, X.2
  • 23
    • 0034206088 scopus 로고    scopus 로고
    • Front propagation in heterogeneous media
    • J. XIN, Front propagation in heterogeneous media, SIAM Rev., 42 (2000), pp 161-230.
    • (2000) SIAM Rev , vol.42 , pp. 161-230
    • XIN, J.1
  • 24
    • 36949058437 scopus 로고
    • Concentration wave propagation in two-dimensional liquid-phase self-oscillating system
    • A. N. ZAIKIN AND A. M. ZHABOTINSKII, Concentration wave propagation in two-dimensional liquid-phase self-oscillating system, Nature, 225 (1970), pp. 535-537.
    • (1970) Nature , vol.225 , pp. 535-537
    • ZAIKIN, A.N.1    ZHABOTINSKII, A.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.