Some applications of (C 0,1)-semigroups

This study is originally motivated by the thermal balance equations for the gas and solid interphase heat-transfer for the fast-igniting catalytic converter of automobiles. instead of solving this problem directly,we proved some results concerning the existence and uniqueness for abstract semilinear initial value problem by means of (c 0,1) -semigroup theories on locally convex topological space. the most enjoyable here is that these results not only can be applied to solve the interphase heat-transfer for the fast-igniting catalytic converter of automobile under the situation of preheating at the entry edge of converter,but also can be applied to some other practical problems. © 2012 yu-hsien chang and cheng-hong hong.