A geometric approach to fingering instabilities for reaction fronts in fully coupled geochemical systems
- 1 August 1996
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 57 (1) , 29-40
- https://doi.org/10.1093/imamat/57.1.29
Abstract
A geometrical approach described by Grindrod (1995, Proc. R. Soc. Lond. A 449, 123–38) is applied to analyse spontaneous symmetry breaking of planar reaction fronts in fully coupled reaction-diffusion-advection problems arising in geochemistry. This method yields stability results qualitatively similar to those of Ortoleva et al. (1987, Am. J. Sci287, 1008–40) and Chen & Ortoleva (1990, Earth Sci. Rev. 29, 183–98; 1992, Modelling and Analysis of Diffusive and Advective Processes in Geosciences, SIAM), yet distinct in the treatment of large-wavenumber perturbations. The analysis is verified numerically.Keywords
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