Journal of Applied Mathematics

Some Applications of ( C 0 , 1 ) -Semigroups

Yu-Hsien Chang and Cheng-hong Hong

Full-text: Open access

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 ( 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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 968760, 14 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495122

Digital Object Identifier
doi:10.1155/2012/968760

Mathematical Reviews number (MathSciNet)
MR2915732

Zentralblatt MATH identifier
1245.49006

Citation

Chang, Yu-Hsien; Hong, Cheng-hong. Some Applications of $({C}_{0},1)$ -Semigroups. J. Appl. Math. 2012 (2012), Article ID 968760, 14 pages. doi:10.1155/2012/968760. https://projecteuclid.org/euclid.jam/1355495122


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