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The classical problem of th erm al ignition in an infinitely extending reactive slab is revisited. In F ran k -K am en etsk ii's form ulation th e te m p eratu re d istributio n in th e horizontal direction is assum ed uniform and th e critical value of the p aram eter 8 such th a t any excess in 8 leads to therm al ignition is found. A stric t analysis of th e original problem shows th a t an additional statio n ary s ta te exists in the form of a stan d in g wave of reaction. A lthough th edoi:10.1098/rspa.1985.0035 fatcat:tr57pm4p3vfdtmnuldwby7r27e