Travelling waves of a reaction-diffusion model for the acidic nitrate-ferroin reaction

Sheng-Chen Fu

doi:10.3934/dcdsb.2011.16.189

Article Contents

2011, Volume 16, Issue 1: 189-196. Doi: 10.3934/dcdsb.2011.16.189

This issue Previous Article Dynamic phase transition for binary systems in cylindrical geometry Next Article Existence theorem for a model of dryland vegetation

Travelling waves of a reaction-diffusion model for the acidic nitrate-ferroin reaction

Sheng-Chen Fu^1,

1.
Department of Mathematical Sciences, National Chengchi University, 64, S-2 Zhi-nan Road, Taipei 116

Received: January 31, 2010

Revised: June 30, 2010

Published: June 2011

Abstract Related Papers Cited by

Abstract

In this paper we consider a reaction-diffusion system which describes the acidic nitrate-ferroin reaction. We first show that there exists a minimum speed travelling wave solution. Then some estimates of the minimum speed(s) are derived. Finally, we find that the set of admissible wave speed is $[c_{m i n},\infty)$ under certain condition.

Keywords:

Mathematics Subject Classification: Primary: 35K40; Secondary: 34A34, 35Q80, 35K57.

Citation:

Related Papers

Cited by

References

[1]	X. Chen and Y. Qi, Sharp estimates on minimum travelling wave speed of reaction diffusion systems modelling autocatalysis, SIAM. J. Math. Anal., 39 (2007), 437-448.doi: 10.1137/060665749.
[2]	A. Kolmogoroff, I. Petrovsky and N. Piscounoff, Etude de l'quation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique, Moscow Univ. Bull. Math., 1 (1937), 1-25.
[3]	I. Lengyel, G. Pota and G. Bazsa, Wave profile in the acidic nitrate-ferroin reaction, J. Chem. Soc. Faraday Trans., 87 (1991), 3613-3615.doi: 10.1039/ft9918703613.
[4]	J. H. Merkin and M. A. Sadiq, Reaction-diffusion travelling waves in the acidic nitrate-ferroin reaction, J. Math. Chem., 17 (1995), 357-375.doi: 10.1007/BF01165755.
[5]	G. Pota, I. Lengyel and G. Bazsa, Travelling waves in the acidic nitrate-ferroin reaction, J. Chem. Soc. Faraday Trans., 85 (1989), 3871-3877.doi: 10.1039/f19898503871.
[6]	G. Pota, I. Lengyel and G. Bazsa, Travelling waves in the acidic nitrate-iron(II) reaction: Analytical description of the wave velocity, J. Phys. Chem., 95 (1991), 4379-4381.doi: 10.1021/j100164a039.