The behavior of the interphase heat-transfer for the fast-igniting catalytic converter

Yu Hsien Chang, Guo Chin Jau

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The main purpose of this paper is to study the thermal balance equations for the gas and solid interphase heat-transfer for the fast-igniting catalytic converter of automobiles: { ∂/∂t u (t, x) = - α∂/∂x u (t, x) + av (t, x) - au (t, x) for t > 0, 0 < x < l; ∂/∂t v (t, x) = bu (t, x) - bv (t, x) + λexp (v (t, x)) for t > 0, 0 < x < l; u (t, 0) = η for t ≥ 0; u (0, x) = u0 (x) and v (0, x) = v0 (x) for x > 0. where u0, v0 are continuous functions on [0, l] with u0 (0) = η. We establish some results concerning the existence and uniqueness of the mild solutions and classical solutions of the above differential system. The asymptotical behavior of the solution is also addressed.

Original languageEnglish
Pages (from-to)807-827
Number of pages21
JournalTaiwanese Journal of Mathematics
Volume10
Issue number3
DOIs
Publication statusPublished - 2006 Mar

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Keywords

  • Asymptotic behavior
  • Blow-up
  • Fixed-point theory

ASJC Scopus subject areas

  • Mathematics(all)

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