Some Applications of (𝐶0,1)-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 semilinea...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/968760 |
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| _version_ | 1832566851727523840 |
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| author | Yu-Hsien Chang Cheng-hong Hong |
| author_facet | Yu-Hsien Chang Cheng-hong Hong |
| author_sort | Yu-Hsien Chang |
| collection | DOAJ |
| description | 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 (𝐶0,1)-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. |
| format | Article |
| id | doaj-art-bb146179508a4a22b45618e5856973f4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bb146179508a4a22b45618e5856973f42025-02-03T01:03:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/968760968760Some Applications of (𝐶0,1)-SemigroupsYu-Hsien Chang0Cheng-hong Hong1Department of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677, TaiwanDepartment of Mathematics, National Taiwan Normal University, 88 Section 4, Ting Chou Road, Taipei 11677, TaiwanThis 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 (𝐶0,1)-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.http://dx.doi.org/10.1155/2012/968760 |
| spellingShingle | Yu-Hsien Chang Cheng-hong Hong Some Applications of (𝐶0,1)-Semigroups Journal of Applied Mathematics |
| title | Some Applications of (𝐶0,1)-Semigroups |
| title_full | Some Applications of (𝐶0,1)-Semigroups |
| title_fullStr | Some Applications of (𝐶0,1)-Semigroups |
| title_full_unstemmed | Some Applications of (𝐶0,1)-Semigroups |
| title_short | Some Applications of (𝐶0,1)-Semigroups |
| title_sort | some applications of 𝐶0 1 semigroups |
| url | http://dx.doi.org/10.1155/2012/968760 |
| work_keys_str_mv | AT yuhsienchang someapplicationsofc01semigroups AT chenghonghong someapplicationsofc01semigroups |