D'epartement de Math'ematiques, FDS-UB, B.P 1515 Lom\'e, TOGO
E-mail: tedarh@syfed.tg.refer.org
Abstract. This paper is a contribution to the mathematical modelling of the hump effect. We present a mathematical study (existence, homogenization) of a Hamilton-Jacobi problem which represents the propagation of a front flame in a striated media.
AMSclassification. 35B27
Keywords. Hump effect, striated media, homogenization,viscosity solution