Some Applications of ( ð ¶ 0, 1 ) -Semigroups

Yu-Hsien Chang and Cheng-hong Hong

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

Abstract:

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 ( ð ¶ 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:968760

DOI: 10.1155/2012/968760

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