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Volumn 17, Issue 2, 2002, Pages 131-135

A note on the non-existence of permanent form travelling wave solutions in a class of singular reaction-diffusion problems

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); FUNCTIONS; INITIAL VALUE PROBLEMS; INTEGRATION; LINEARIZATION; NONLINEAR EQUATIONS; THEOREM PROVING;

EID: 0036625977     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: 10.1080/14689360110116498     Document Type: Article
Times cited : (10)

References (13)
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  • 4
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    • The wave of advance of advantageous genes
    • Fisher, R. A., 1937, The wave of advance of advantageous genes. Annals of Eugenics, 7: 353-369.
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    • Fisher, R.A.1
  • 5
    • 0016743943 scopus 로고
    • Travelling fronts in nonlinear diffusion equations
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    • (1975) Journal of Mathematical Biology , vol.2 , pp. 251-263
    • Hadeler, K.P.1    Rothe, F.2
  • 6
    • 0001574146 scopus 로고
    • On a singular initial-boundary-value problem for a reaction-diffusion equation arising from a simple model of isothermal chemical autocatalysis
    • King, A. C., and Needham, D. J., 1992, On a singular initial-boundary-value problem for a reaction-diffusion equation arising from a simple model of isothermal chemical autocatalysis. Proceedings of the Royal Society London, A437: 657-671.
    • (1992) Proceedings of the Royal Society London , vol.A437 , pp. 657-671
    • King, A.C.1    Needham, D.J.2
  • 7
    • 0002722044 scopus 로고
    • Etude de l'équation de la diffusion avec croissance de la quantité de matìere et son application à un problème biologique
    • Kolmogorov, A., Petrovsky, I., and Piscounov, N., 1937, Etude de l'équation de la diffusion avec croissance de la quantité de matìere et son application à un problème biologique. Moscow University Bulletin of Mathematics, 1: 1-25.
    • (1937) Moscow University Bulletin of Mathematics , vol.1 , pp. 1-25
    • Kolmogorov, A.1    Petrovsky, I.2    Piscounov, N.3
  • 8
    • 0344211077 scopus 로고    scopus 로고
    • The evolution of travelling waves in fractional order autocatalysis with decay. I. Permanent form travelling waves
    • McCabe, P. M., Leach, J.A., and Needham, D. J, 1999, The evolution of travelling waves in fractional order autocatalysis with decay. I. Permanent form travelling waves. SIAM Journal on Applied Mathematics, 59(3): 870-899.
    • (1999) SIAM Journal on Applied Mathematics , vol.59 , Issue.3 , pp. 870-899
    • McCabe, P.M.1    Leach, J.A.2    Needham, D.J.3
  • 9
    • 0033651724 scopus 로고    scopus 로고
    • The evolution of travelling waves in fractional order autocatalysis with decay. II. The initial-boundary-value problem
    • McCabe, P. M., Leach, J. A., and Needham, D. J, 2000, The evolution of travelling waves in fractional order autocatalysis with decay. II. The initial-boundary-value problem. SIAM Journal on Applied Mathematics, 60(5): 1707-1748.
    • (2000) SIAM Journal on Applied Mathematics , vol.60 , Issue.5 , pp. 1707-1748
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  • 10
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    • Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations
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    • Needham, D.J.1    Barnes, A.2
  • 11
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    • Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation
    • Sherratt, J. A., and Marchant, B. P., 1996, Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation. IMA Journal of Applied Mathematics, 56: 289-302.
    • (1996) IMA Journal of Applied Mathematics , vol.56 , pp. 289-302
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  • 12
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    • On the propagation of calcium waves in an inhomogeneous medium
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.