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Volumn 56, Issue 1, 1996, Pages 65-86

A reaction-diffusion model for autocatalytic polymerization: II. The initial value problem

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CATALYSIS; CATALYSTS; DIFFUSION IN SOLIDS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NUMERICAL ANALYSIS; POLYMERIZATION;

EID: 0030086045     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/56.1.65     Document Type: Article
Times cited : (5)

References (9)
  • 1
    • 0002488752 scopus 로고
    • Nonlinear diffusion in population genetics, combustion and nerve propagation
    • Proc. Tulane Program in Partial Differential Equations and Related Topics, Berlin: Springer
    • ARONSON, D. G., & WEINBERGER, H. F., 1975. Nonlinear diffusion in population genetics, combustion and nerve propagation. Proc. Tulane Program in Partial Differential Equations and Related Topics, Lecture Notes in Mathematics 446. Berlin: Springer.
    • (1975) Lecture Notes in Mathematics , vol.446
    • Aronson, D.G.1    Weinberger, H.F.2
  • 2
    • 0001454338 scopus 로고
    • The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II. An initial value problem with immobilized or nearly immobilized autocatalyst
    • BILLINGHAM, J., & NEEDHAM, D. J., 1991. The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II. An initial value problem with immobilized or nearly immobilized autocatalyst. Phil. Trans. R. Soc. Lond. A 336, 497-539.
    • (1991) Phil. Trans. R. Soc. Lond. A , vol.336 , pp. 497-539
    • Billingham, J.1    Needham, D.J.2
  • 4
    • 0000821846 scopus 로고
    • Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system
    • MERKIN, J. H., & NEEDHAM, D. J., 1989. Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system. J. Eng. Math. 23, 343-56.
    • (1989) J. Eng. Math. , vol.23 , pp. 343-356
    • Merkin, J.H.1    Needham, D.J.2
  • 5
    • 0029168736 scopus 로고
    • The evolution of travelling waves in reaction-diffusion equations with monotone decreasing diffusivity. I. Continuous diffusivity
    • NEEDHAM, D. J., & KING, A. C., 1995a. The evolution of travelling waves in reaction-diffusion equations with monotone decreasing diffusivity. I. Continuous diffusivity. Phil. Trans. R. Soc. Lond. A 350, 335-60.
    • (1995) Phil. Trans. R. Soc. Lond. A , vol.350 , pp. 335-360
    • Needham, D.J.1    King, A.C.2
  • 6
    • 0029139701 scopus 로고
    • The evolution of travelling waves in reaction-diffusion equations with monotone decreasing diffusivity. II. Abruptly vanishing diffusivity
    • NEEDHAM, D. J., & KING, A. C., 1995b. The evolution of travelling waves in reaction-diffusion equations with monotone decreasing diffusivity. II. Abruptly vanishing diffusivity. Phil. Trans. R. Soc. Lond. A 350, 361-78.
    • (1995) Phil. Trans. R. Soc. Lond. A , vol.350 , pp. 361-378
    • Needham, D.J.1    King, A.C.2
  • 7
    • 0028671629 scopus 로고
    • A reaction-diffusion model for autocatalytic polymerization. I. Permanent form travelling waves
    • NEEDHAM, D. J., KING, A. C., & MERKIN, J. H., 1994. A reaction-diffusion model for autocatalytic polymerization. I. Permanent form travelling waves. IMA J. Appl. Math. 53, 137-49.
    • (1994) IMA J. Appl. Math. , vol.53 , pp. 137-149
    • Needham, D.J.1    King, A.C.2    Merkin, J.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.