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Formal theory concerning the generation and propagation of travelling wave-fronts in reaction-diffusion equations

Publication ,  Journal Article
Needham, DJ
Published in: Quarterly Journal of Mechanics and Applied Mathematics
1992

In this paper we develop a formal approach to examining the long-time asymptotic form of propagating wave-fronts which can develop in initial boundary-value problems for partial differential equations of the reaction-diffusion type. Particular attention is given to the long-time asymptotic wave-front propagation speed.

Duke Scholars

Published In

Quarterly Journal of Mechanics and Applied Mathematics

Publication Date

1992

Volume

45

Issue

pt 3

Start / End Page

469 / 498

Related Subject Headings

  • Applied Mathematics
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics
 

Citation

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ICMJE
MLA
NLM
Needham, D. J. (1992). Formal theory concerning the generation and propagation of travelling wave-fronts in reaction-diffusion equations. Quarterly Journal of Mechanics and Applied Mathematics, 45(pt 3), 469–498.
Needham, D. J. “Formal theory concerning the generation and propagation of travelling wave-fronts in reaction-diffusion equations.” Quarterly Journal of Mechanics and Applied Mathematics 45, no. pt 3 (1992): 469–98.
Needham DJ. Formal theory concerning the generation and propagation of travelling wave-fronts in reaction-diffusion equations. Quarterly Journal of Mechanics and Applied Mathematics. 1992;45(pt 3):469–98.
Needham, D. J. “Formal theory concerning the generation and propagation of travelling wave-fronts in reaction-diffusion equations.” Quarterly Journal of Mechanics and Applied Mathematics, vol. 45, no. pt 3, 1992, pp. 469–98.
Needham DJ. Formal theory concerning the generation and propagation of travelling wave-fronts in reaction-diffusion equations. Quarterly Journal of Mechanics and Applied Mathematics. 1992;45(pt 3):469–498.

Published In

Quarterly Journal of Mechanics and Applied Mathematics

Publication Date

1992

Volume

45

Issue

pt 3

Start / End Page

469 / 498

Related Subject Headings

  • Applied Mathematics
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics