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The ‘hump’ effect in solid propellant combustion. (English) Zbl 0967.35156
Summary: An eikonal equation modelling the propagation of combustion fronts in striated media is studied via a level 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.

MSC:
35R35 Free boundary problems for PDEs
80A25 Combustion
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