Geodesic
Traveling waves in media with diffusion
Mathematica Applicanda, Tome 33 (2005) no. 47/06, pp. 29-47.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper, we discuss traveling wave solutions for equations that model nonlinear media with diffusion. Such solutions can also describe, for example, the propagation of heteroclinic fronts or impulses (medium excitations). We present several examples of processes in which the notion of a traveling wave captures the essence of the analytical phenomena, including plasma sustained by a laser beam, phase transitions in van der Waals fluids, skin morphogenesis, and the DNA-RNA transcription process.
DOI : 10.14708/ma.v33i47/06.1350
Classification : 35K57(35K50, 37B30, 37C29, 76X05, 92C35)
Mots-clés : Reaction-diffusion equations, Boundary value problems for parabolic systems,Index theory, Morse-Conley indices, Homoclinic and heteroclinic orbits, Ionized gas flow in electromagnetic fields, plasmic flow, Physiological flow 
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Bogdan Kaźmierczak. Traveling waves in media with diffusion. Mathematica Applicanda, Tome 33 (2005) no. 47/06, pp.  29-47. doi : 10.14708/ma.v33i47/06.1350. http://geodesic.mathdoc.fr/articles/10.14708/ma.v33i47/06.1350/

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