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Approximate traveling waves in linear reaction-hyperbolic equations

Publication ,  Journal Article
Reed, MC; Venakides, S; Blum, JJ
Published in: SIAM Journal on Applied Mathematics
January 1, 1990

Linear reaction-hyperbolic equations of a general type arising in certain physiological problems do not have traveling wave solutions, but numerical computations have shown that they possess approximate traveling waves. Using singular perturbation theory, it is shown that as the rates of the chemical reactions approach ∞, solutions approach traveling waves. The speed of the limiting wave and the first term in the asymptotic expansion are computed in terms of the underlying chemical mechanisms.

Duke Scholars

Published In

SIAM Journal on Applied Mathematics

DOI

ISSN

0036-1399

Publication Date

January 1, 1990

Volume

50

Issue

1

Start / End Page

167 / 180

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

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Reed, M. C., Venakides, S., & Blum, J. J. (1990). Approximate traveling waves in linear reaction-hyperbolic equations. SIAM Journal on Applied Mathematics, 50(1), 167–180. https://doi.org/10.1137/0150011
Reed, M. C., S. Venakides, and J. J. Blum. “Approximate traveling waves in linear reaction-hyperbolic equations.” SIAM Journal on Applied Mathematics 50, no. 1 (January 1, 1990): 167–80. https://doi.org/10.1137/0150011.
Reed MC, Venakides S, Blum JJ. Approximate traveling waves in linear reaction-hyperbolic equations. SIAM Journal on Applied Mathematics. 1990 Jan 1;50(1):167–80.
Reed, M. C., et al. “Approximate traveling waves in linear reaction-hyperbolic equations.” SIAM Journal on Applied Mathematics, vol. 50, no. 1, Jan. 1990, pp. 167–80. Scopus, doi:10.1137/0150011.
Reed MC, Venakides S, Blum JJ. Approximate traveling waves in linear reaction-hyperbolic equations. SIAM Journal on Applied Mathematics. 1990 Jan 1;50(1):167–180.

Published In

SIAM Journal on Applied Mathematics

DOI

ISSN

0036-1399

Publication Date

January 1, 1990

Volume

50

Issue

1

Start / End Page

167 / 180

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics