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

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  • Yu-Hsien Chang
  • Cheng-hong Hong

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.

Suggested Citation

  • Yu-Hsien Chang & Cheng-hong Hong, 2012. "Some Applications of ( ð ¶ 0 , 1 ) -Semigroups," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, May.
    • Handle: RePEc:hin:jnljam:968760
    DOI: 10.1155/2012/968760
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