Geodesic
The `hump' effect in solid propellant combustion
Gawtum Namah1 ; Jean-Michel Roquejoffre2
1Université de Franche-Comté, Besancon, France
2Université Paul Sabatier, Toulouse, France
Interfaces and free boundaries, Tome 2 (2000) no. 4, pp. 449-467

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DOI

An eikonal equation modelling the propagation of combustion fronts in striated media is studied via a level set formulation. Travelling fronts are obtained, and their speeds turn out to be monotone with respect to the angle of the striations. An effective equation for thin meniscus striations is derived from a homogenization process, thus explaining the so-called ‘hump’ effect. Finally, the time-asymptotic stabilization of unsteady fronts propagating in straight striations is proved.
DOI : 10.4171/ifb/29
Classification : 46-XX, 60-XX
Mots-clés : Level set formulation, travelling fronts, homogenization, time-asymptotic stabilization

Gawtum Namah  1   ; Jean-Michel Roquejoffre  2

1 Université de Franche-Comté, Besancon, France
2 Université Paul Sabatier, Toulouse, France 
Gawtum Namah; Jean-Michel Roquejoffre. The `hump' effect in solid propellant combustion. Interfaces and free boundaries, Tome 2 (2000) no. 4, pp. 449-467. doi: 10.4171/ifb/29
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