Geodesic
Stability of Traveling Waves in Partly Parabolic Systems
A. Ghazaryan1 ; Y. Latushkin2 ; S. Schecter3
1 Department of Mathematics, Miami University, Oxford, OH 45056 USA
2 Department of Mathematics, University of Missouri, Columbia, MO 65211 USA
3 Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC 27695 USA
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 5, pp. 31-47.

Voir la notice de l'article provenant de la source EDP Sciences

We review recent results on stability of traveling waves in partly parabolic reaction-diffusion systems with stable or marginally stable equilibria. We explain how attention to what are apparently mathematical technicalities has led to theorems that allow one to convert spectral calculations, which are used in the sciences and engineering to study stability of a wave, into detailed, theoretically-based information about the behavior of perturbations of the wave.
DOI : 10.1051/mmnp/20138503

A. Ghazaryan 1 ; Y. Latushkin 2 ; S. Schecter 3

1 Department of Mathematics, Miami University, Oxford, OH 45056 USA
2 Department of Mathematics, University of Missouri, Columbia, MO 65211 USA
3 Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC 27695 USA 
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A. Ghazaryan; Y. Latushkin; S. Schecter. Stability of Traveling Waves in Partly Parabolic Systems. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 5, pp. 31-47. doi : 10.1051/mmnp/20138503. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138503/

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